{"componentChunkName":"component---src-templates-blog-post-js","path":"/calculate-the-area-of-triangle-in-algorithm-question/","result":{"data":{"site":{"siteMetadata":{"title":"Undefined"}},"mdx":{"id":"d5043bd2-417f-5634-af95-e085e566558a","excerpt":"In algorithm questions, knowing how to calculate the area of the triangle makes problems easy. Leetcode 1037. Valid Boomerang Leetcode 812. Largest Triangle…","body":"function _extends() { _extends = Object.assign || function (target) { for (var i = 1; i < arguments.length; i++) { var source = arguments[i]; for (var key in source) { if (Object.prototype.hasOwnProperty.call(source, key)) { target[key] = source[key]; } } } return target; }; return _extends.apply(this, arguments); }\n\nfunction _objectWithoutProperties(source, excluded) { if (source == null) return {}; var target = _objectWithoutPropertiesLoose(source, excluded); var key, i; if (Object.getOwnPropertySymbols) { var sourceSymbolKeys = Object.getOwnPropertySymbols(source); for (i = 0; i < sourceSymbolKeys.length; i++) { key = sourceSymbolKeys[i]; if (excluded.indexOf(key) >= 0) continue; if (!Object.prototype.propertyIsEnumerable.call(source, key)) continue; target[key] = source[key]; } } return target; }\n\nfunction _objectWithoutPropertiesLoose(source, excluded) { if (source == null) return {}; var target = {}; var sourceKeys = Object.keys(source); var key, i; for (i = 0; i < sourceKeys.length; i++) { key = sourceKeys[i]; if (excluded.indexOf(key) >= 0) continue; target[key] = source[key]; } return target; }\n\n/* @jsxRuntime classic */\n\n/* @jsx mdx */\nvar _frontmatter = {\n \"title\": \"Calculate the area of triangle in algorithm question\",\n \"date\": \"2019-07-16T22:12:03.284Z\",\n \"description\": \"Introduce how to 👨🏻‍💻 calculate the area of triangle in cartesian coordinate system.\",\n \"tags\": [\"Algorithm\", \"Math\"],\n \"visible\": true\n};\nvar layoutProps = {\n _frontmatter: _frontmatter\n};\nvar MDXLayout = \"wrapper\";\nreturn function MDXContent(_ref) {\n var components = _ref.components,\n props = _objectWithoutProperties(_ref, [\"components\"]);\n\n return mdx(MDXLayout, _extends({}, layoutProps, props, {\n components: components,\n mdxType: \"MDXLayout\"\n }), mdx(\"p\", null, \"In algorithm questions, knowing how to calculate the area of the triangle makes problems easy.\"), mdx(\"p\", null, mdx(\"a\", _extends({\n parentName: \"p\"\n }, {\n \"href\": \"https://leetcode.com/problems/valid-boomerang/\"\n }), \"Leetcode 1037. Valid Boomerang\")), mdx(\"p\", null, mdx(\"a\", _extends({\n parentName: \"p\"\n }, {\n \"href\": \"https://leetcode.com/problems/largest-triangle-area/\"\n }), \"Leetcode 812. Largest Triangle Area\")), mdx(\"h2\", null, \"Calculate area\"), mdx(\"p\", null, \"In an algorithm problem, we usually use (x, y) to represent a point in Cartesian coordinate system. Given three points, how can we calculate the area? we need to know the concept of \", mdx(\"code\", _extends({\n parentName: \"p\"\n }, {\n \"className\": \"language-text\"\n }), \"Vector product\"), \" firstly.\"), mdx(\"h2\", null, \"Vector product\"), mdx(\"p\", null, mdx(\"img\", _extends({\n parentName: \"p\"\n }, {\n \"src\": \"https://user-images.githubusercontent.com/24699211/61271685-2455aa80-a75a-11e9-870e-908e1cffa43b.png\",\n \"alt\": \"image\"\n }))), mdx(\"p\", null, \"As shown in the figure, the \", mdx(\"span\", _extends({\n parentName: \"p\"\n }, {\n \"className\": \"katex\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"katex-mathml\"\n }), mdx(\"math\", _extends({\n parentName: \"span\"\n }, {\n \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n }), mdx(\"semantics\", {\n parentName: \"math\"\n }, mdx(\"mrow\", {\n parentName: \"semantics\"\n }, mdx(\"mi\", _extends({\n parentName: \"mrow\"\n }, {\n \"mathvariant\": \"normal\"\n }), \"\\u2223\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"a\"), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\xD7\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"b\"), mdx(\"mi\", _extends({\n parentName: \"mrow\"\n }, {\n \"mathvariant\": \"normal\"\n }), \"\\u2223\")), mdx(\"annotation\", _extends({\n parentName: \"semantics\"\n }, {\n \"encoding\": \"application/x-tex\"\n }), \"|a \\\\times b|\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"katex-html\",\n \"aria-hidden\": \"true\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), \"\\u2223\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"a\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\xD7\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"b\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), \"\\u2223\")))), \" represents the area of the parallelogram combined with Vector a and Vector b. If we just want to get the area of the triangle, it\\u2019s \", mdx(\"strong\", {\n parentName: \"p\"\n }, \"half\"), \".\"), mdx(\"h2\", null, \"How to calculate vector product?\"), mdx(\"p\", null, mdx(\"img\", _extends({\n parentName: \"p\"\n }, {\n \"src\": \"https://user-images.githubusercontent.com/24699211/61273020-5ae0f480-a75d-11e9-990f-5047852b3993.png\",\n \"alt\": \"image\"\n }))), mdx(\"h2\", null, \"Formula\"), mdx(\"p\", null, \"Given 4 points:\"), mdx(\"p\", null, mdx(\"span\", _extends({\n parentName: \"p\"\n }, {\n \"className\": \"katex\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"katex-mathml\"\n }), mdx(\"math\", _extends({\n parentName: \"span\"\n }, {\n \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n }), mdx(\"semantics\", {\n parentName: \"math\"\n }, mdx(\"mrow\", {\n parentName: \"semantics\"\n }, mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"A\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \"(\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"x\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"a\")), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"separator\": \"true\"\n }), \",\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"y\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"a\")), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \")\"), mdx(\"mtext\", {\n parentName: \"mrow\"\n }, \"\\xA0\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"B\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \"(\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"x\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"b\")), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"separator\": \"true\"\n }), \",\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"y\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"b\")), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \")\"), mdx(\"mtext\", {\n parentName: \"mrow\"\n }, \"\\xA0\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"C\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \"(\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"x\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"c\")), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"separator\": \"true\"\n }), \",\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"y\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"c\")), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \")\"), mdx(\"mtext\", {\n parentName: \"mrow\"\n }, \"\\xA0\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"O\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \"(\"), mdx(\"mn\", {\n parentName: \"mrow\"\n }, \"0\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"separator\": \"true\"\n }), \",\"), mdx(\"mn\", {\n parentName: \"mrow\"\n }, \"0\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \")\")), mdx(\"annotation\", _extends({\n parentName: \"semantics\"\n }, {\n \"encoding\": \"application/x-tex\"\n }), \"A(x_a,y_a) \\\\ B(x_b, y_b) \\\\ C(x_c,y_c) \\\\ O(0,0)\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"katex-html\",\n \"aria-hidden\": \"true\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"A\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mopen\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"x\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"0em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"a\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mpunct\"\n }), \",\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.16666666666666666em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.03588em\"\n }\n }), \"y\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"-0.03588em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"a\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mclose\"\n }), \")\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\"\n }), \"\\xA0\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.05017em\"\n }\n }), \"B\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mopen\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"x\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.33610799999999996em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"0em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"b\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mpunct\"\n }), \",\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.16666666666666666em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.03588em\"\n }\n }), \"y\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.33610799999999996em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"-0.03588em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"b\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mclose\"\n }), \")\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\"\n }), \"\\xA0\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.07153em\"\n }\n }), \"C\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mopen\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"x\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"0em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"c\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mpunct\"\n }), \",\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.16666666666666666em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.03588em\"\n }\n }), \"y\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"-0.03588em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"c\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mclose\"\n }), \")\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\"\n }), \"\\xA0\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.02778em\"\n }\n }), \"O\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mopen\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), \"0\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mpunct\"\n }), \",\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.16666666666666666em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), \"0\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mclose\"\n }), \")\"))))), mdx(\"p\", null, \"According to vector calculation, we know:\"), mdx(\"p\", null, mdx(\"span\", _extends({\n parentName: \"p\"\n }, {\n \"className\": \"katex\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"katex-mathml\"\n }), mdx(\"math\", _extends({\n parentName: \"span\"\n }, {\n \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n }), mdx(\"semantics\", {\n parentName: \"math\"\n }, mdx(\"mrow\", {\n parentName: \"semantics\"\n }, mdx(\"mover\", _extends({\n parentName: \"mrow\"\n }, {\n \"accent\": \"true\"\n }), mdx(\"mrow\", {\n parentName: \"mover\"\n }, mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"A\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"B\")), mdx(\"mo\", {\n parentName: \"mover\"\n }, \"\\u20D7\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"=\"), mdx(\"mover\", _extends({\n parentName: \"mrow\"\n }, {\n \"accent\": \"true\"\n }), mdx(\"mrow\", {\n parentName: \"mover\"\n }, mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"A\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"O\")), mdx(\"mo\", {\n parentName: \"mover\"\n }, \"\\u20D7\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"+\"), mdx(\"mover\", _extends({\n parentName: \"mrow\"\n }, {\n \"accent\": \"true\"\n }), mdx(\"mrow\", {\n parentName: \"mover\"\n }, mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"O\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"B\")), mdx(\"mo\", {\n parentName: \"mover\"\n }, \"\\u20D7\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"=\"), mdx(\"mover\", _extends({\n parentName: \"mrow\"\n }, {\n \"accent\": \"true\"\n }), mdx(\"mrow\", {\n parentName: \"mover\"\n }, mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"O\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"B\")), mdx(\"mo\", {\n parentName: \"mover\"\n }, \"\\u20D7\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\u2212\"), mdx(\"mover\", _extends({\n parentName: \"mrow\"\n }, {\n \"accent\": \"true\"\n }), mdx(\"mrow\", {\n parentName: \"mover\"\n }, mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"O\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"A\")), mdx(\"mo\", {\n parentName: \"mover\"\n }, \"\\u20D7\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"=\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \"(\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \"(\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"x\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"b\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\u2212\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"x\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"a\")), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \")\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"separator\": \"true\"\n }), \",\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \"(\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"y\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"b\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\u2212\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"y\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"a\")), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \")\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \")\")), mdx(\"annotation\", _extends({\n parentName: \"semantics\"\n }, {\n \"encoding\": \"application/x-tex\"\n }), \"\\\\vec{AB}=\\\\vec{AO} + \\\\vec{OB} = \\\\vec{OB} - \\\\vec{OA} = ((x_b-x_a), (y_b-y_a))\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"katex-html\",\n \"aria-hidden\": \"true\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"0.9663299999999999em\",\n \"verticalAlign\": \"0em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord accent\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.9663299999999999em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"A\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.05017em\"\n }\n }), \"B\"))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3.25233em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"accent-body\",\n \"style\": {\n \"left\": \"-0.2355em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"overlay\",\n \"style\": {\n \"height\": \"0.714em\",\n \"width\": \"0.471em\"\n }\n }), mdx(\"svg\", _extends({\n parentName: \"span\"\n }, {\n \"width\": \"0.471em\",\n \"height\": \"0.714em\",\n \"style\": {\n \"width\": \"0.471em\"\n },\n \"viewBox\": \"0 0 471 714\",\n \"preserveAspectRatio\": \"xMinYMin\"\n }), mdx(\"path\", _extends({\n parentName: \"svg\"\n }, {\n \"d\": \"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\\nc-16-25.333-24-45-24-59z\"\n })))))))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2777777777777778em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mrel\"\n }), \"=\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2777777777777778em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1.0496599999999998em\",\n \"verticalAlign\": \"-0.08333em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord accent\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.9663299999999999em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"A\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.02778em\"\n }\n }), \"O\"))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3.25233em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"accent-body\",\n \"style\": {\n \"left\": \"-0.2355em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"overlay\",\n \"style\": {\n \"height\": \"0.714em\",\n \"width\": \"0.471em\"\n }\n }), mdx(\"svg\", _extends({\n parentName: \"span\"\n }, {\n \"width\": \"0.471em\",\n \"height\": \"0.714em\",\n \"style\": {\n \"width\": \"0.471em\"\n },\n \"viewBox\": \"0 0 471 714\",\n \"preserveAspectRatio\": \"xMinYMin\"\n }), mdx(\"path\", _extends({\n parentName: \"svg\"\n }, {\n \"d\": \"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\\nc-16-25.333-24-45-24-59z\"\n })))))))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"+\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"0.9663299999999999em\",\n \"verticalAlign\": \"0em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord accent\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.9663299999999999em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.02778em\"\n }\n }), \"O\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.05017em\"\n }\n }), \"B\"))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3.25233em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"accent-body\",\n \"style\": {\n \"left\": \"-0.2355em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"overlay\",\n \"style\": {\n \"height\": \"0.714em\",\n \"width\": \"0.471em\"\n }\n }), mdx(\"svg\", _extends({\n parentName: \"span\"\n }, {\n \"width\": \"0.471em\",\n \"height\": \"0.714em\",\n \"style\": {\n \"width\": \"0.471em\"\n },\n \"viewBox\": \"0 0 471 714\",\n \"preserveAspectRatio\": \"xMinYMin\"\n }), mdx(\"path\", _extends({\n parentName: \"svg\"\n }, {\n \"d\": \"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\\nc-16-25.333-24-45-24-59z\"\n })))))))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2777777777777778em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mrel\"\n }), \"=\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2777777777777778em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1.0496599999999998em\",\n \"verticalAlign\": \"-0.08333em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord accent\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.9663299999999999em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.02778em\"\n }\n }), \"O\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.05017em\"\n }\n }), \"B\"))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3.25233em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"accent-body\",\n \"style\": {\n \"left\": \"-0.2355em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"overlay\",\n \"style\": {\n \"height\": \"0.714em\",\n \"width\": \"0.471em\"\n }\n }), mdx(\"svg\", _extends({\n parentName: \"span\"\n }, {\n \"width\": \"0.471em\",\n \"height\": \"0.714em\",\n \"style\": {\n \"width\": \"0.471em\"\n },\n \"viewBox\": \"0 0 471 714\",\n \"preserveAspectRatio\": \"xMinYMin\"\n }), mdx(\"path\", _extends({\n parentName: \"svg\"\n }, {\n \"d\": \"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\\nc-16-25.333-24-45-24-59z\"\n })))))))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\u2212\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"0.9663299999999999em\",\n \"verticalAlign\": \"0em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord accent\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.9663299999999999em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.02778em\"\n }\n }), \"O\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"A\"))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3.25233em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"accent-body\",\n \"style\": {\n \"left\": \"-0.2355em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"overlay\",\n \"style\": {\n \"height\": \"0.714em\",\n \"width\": \"0.471em\"\n }\n }), mdx(\"svg\", _extends({\n parentName: \"span\"\n }, {\n \"width\": \"0.471em\",\n \"height\": \"0.714em\",\n \"style\": {\n \"width\": \"0.471em\"\n },\n \"viewBox\": \"0 0 471 714\",\n \"preserveAspectRatio\": \"xMinYMin\"\n }), mdx(\"path\", _extends({\n parentName: \"svg\"\n }, {\n \"d\": \"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\\nc-16-25.333-24-45-24-59z\"\n })))))))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2777777777777778em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mrel\"\n }), \"=\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2777777777777778em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mopen\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mopen\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"x\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.33610799999999996em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"0em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"b\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\u2212\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"x\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"0em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"a\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mclose\"\n }), \")\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mpunct\"\n }), \",\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.16666666666666666em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mopen\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.03588em\"\n }\n }), \"y\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.33610799999999996em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"-0.03588em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"b\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\u2212\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.03588em\"\n }\n }), \"y\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"-0.03588em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"a\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mclose\"\n }), \")\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mclose\"\n }), \")\"))))), mdx(\"p\", null, mdx(\"span\", _extends({\n parentName: \"p\"\n }, {\n \"className\": \"katex\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"katex-mathml\"\n }), mdx(\"math\", _extends({\n parentName: \"span\"\n }, {\n \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n }), mdx(\"semantics\", {\n parentName: \"math\"\n }, mdx(\"mrow\", {\n parentName: \"semantics\"\n }, mdx(\"mover\", _extends({\n parentName: \"mrow\"\n }, {\n \"accent\": \"true\"\n }), mdx(\"mrow\", {\n parentName: \"mover\"\n }, mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"A\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"C\")), mdx(\"mo\", {\n parentName: \"mover\"\n }, \"\\u20D7\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"=\"), mdx(\"mover\", _extends({\n parentName: \"mrow\"\n }, {\n \"accent\": \"true\"\n }), mdx(\"mrow\", {\n parentName: \"mover\"\n }, mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"O\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"C\")), mdx(\"mo\", {\n parentName: \"mover\"\n }, \"\\u20D7\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\u2212\"), mdx(\"mover\", _extends({\n parentName: \"mrow\"\n }, {\n \"accent\": \"true\"\n }), mdx(\"mrow\", {\n parentName: \"mover\"\n }, mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"O\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"A\")), mdx(\"mo\", {\n parentName: \"mover\"\n }, \"\\u20D7\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"=\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \"(\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \"(\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"x\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"c\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\u2212\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"x\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"a\")), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \")\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"separator\": \"true\"\n }), \",\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \"(\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"y\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"c\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\u2212\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"y\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"a\")), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \")\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \")\")), mdx(\"annotation\", _extends({\n parentName: \"semantics\"\n }, {\n \"encoding\": \"application/x-tex\"\n }), \"\\\\vec{AC} = \\\\vec{OC} - \\\\vec{OA} = ((x_c - x_a), (y_c - y_a))\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"katex-html\",\n \"aria-hidden\": \"true\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"0.9663299999999999em\",\n \"verticalAlign\": \"0em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord accent\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.9663299999999999em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"A\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.07153em\"\n }\n }), \"C\"))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3.25233em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"accent-body\",\n \"style\": {\n \"left\": \"-0.2355em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"overlay\",\n \"style\": {\n \"height\": \"0.714em\",\n \"width\": \"0.471em\"\n }\n }), mdx(\"svg\", _extends({\n parentName: \"span\"\n }, {\n \"width\": \"0.471em\",\n \"height\": \"0.714em\",\n \"style\": {\n \"width\": \"0.471em\"\n },\n \"viewBox\": \"0 0 471 714\",\n \"preserveAspectRatio\": \"xMinYMin\"\n }), mdx(\"path\", _extends({\n parentName: \"svg\"\n }, {\n \"d\": \"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\\nc-16-25.333-24-45-24-59z\"\n })))))))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2777777777777778em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mrel\"\n }), \"=\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2777777777777778em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1.0496599999999998em\",\n \"verticalAlign\": \"-0.08333em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord accent\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.9663299999999999em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.02778em\"\n }\n }), \"O\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.07153em\"\n }\n }), \"C\"))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3.25233em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"accent-body\",\n \"style\": {\n \"left\": \"-0.2355em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"overlay\",\n \"style\": {\n \"height\": \"0.714em\",\n \"width\": \"0.471em\"\n }\n }), mdx(\"svg\", _extends({\n parentName: \"span\"\n }, {\n \"width\": \"0.471em\",\n \"height\": \"0.714em\",\n \"style\": {\n \"width\": \"0.471em\"\n },\n \"viewBox\": \"0 0 471 714\",\n \"preserveAspectRatio\": \"xMinYMin\"\n }), mdx(\"path\", _extends({\n parentName: \"svg\"\n }, {\n \"d\": \"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\\nc-16-25.333-24-45-24-59z\"\n })))))))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\u2212\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"0.9663299999999999em\",\n \"verticalAlign\": \"0em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord accent\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.9663299999999999em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.02778em\"\n }\n }), \"O\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"A\"))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3.25233em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"accent-body\",\n \"style\": {\n \"left\": \"-0.2355em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"overlay\",\n \"style\": {\n \"height\": \"0.714em\",\n \"width\": \"0.471em\"\n }\n }), mdx(\"svg\", _extends({\n parentName: \"span\"\n }, {\n \"width\": \"0.471em\",\n \"height\": \"0.714em\",\n \"style\": {\n \"width\": \"0.471em\"\n },\n \"viewBox\": \"0 0 471 714\",\n \"preserveAspectRatio\": \"xMinYMin\"\n }), mdx(\"path\", _extends({\n parentName: \"svg\"\n }, {\n \"d\": \"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\\nc-16-25.333-24-45-24-59z\"\n })))))))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2777777777777778em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mrel\"\n }), \"=\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2777777777777778em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mopen\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mopen\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"x\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"0em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"c\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\u2212\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"x\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"0em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"a\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mclose\"\n }), \")\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mpunct\"\n }), \",\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.16666666666666666em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mopen\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.03588em\"\n }\n }), \"y\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"-0.03588em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"c\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\u2212\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.03588em\"\n }\n }), \"y\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"-0.03588em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"a\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mclose\"\n }), \")\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mclose\"\n }), \")\"))))), mdx(\"p\", null, \"so the area of ABC:\"), mdx(\"p\", null, mdx(\"span\", _extends({\n parentName: \"p\"\n }, {\n \"className\": \"katex\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"katex-mathml\"\n }), mdx(\"math\", _extends({\n parentName: \"span\"\n }, {\n \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n }), mdx(\"semantics\", {\n parentName: \"math\"\n }, mdx(\"mrow\", {\n parentName: \"semantics\"\n }, mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", _extends({\n parentName: \"msub\"\n }, {\n \"mathvariant\": \"normal\"\n }), \"\\u0394\"), mdx(\"mrow\", {\n parentName: \"msub\"\n }, mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"A\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"B\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"C\"))), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"=\"), mdx(\"mn\", {\n parentName: \"mrow\"\n }, \"1\"), mdx(\"mi\", _extends({\n parentName: \"mrow\"\n }, {\n \"mathvariant\": \"normal\"\n }), \"/\"), mdx(\"mn\", {\n parentName: \"mrow\"\n }, \"2\"), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\xD7\"), mdx(\"mi\", _extends({\n parentName: \"mrow\"\n }, {\n \"mathvariant\": \"normal\"\n }), \"\\u2223\"), mdx(\"mover\", _extends({\n parentName: \"mrow\"\n }, {\n \"accent\": \"true\"\n }), mdx(\"mrow\", {\n parentName: \"mover\"\n }, mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"A\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"B\")), mdx(\"mo\", {\n parentName: \"mover\"\n }, \"\\u20D7\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\xD7\"), mdx(\"mover\", _extends({\n parentName: \"mrow\"\n }, {\n \"accent\": \"true\"\n }), mdx(\"mrow\", {\n parentName: \"mover\"\n }, mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"A\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"C\")), mdx(\"mo\", {\n parentName: \"mover\"\n }, \"\\u20D7\")), mdx(\"mi\", _extends({\n parentName: \"mrow\"\n }, {\n \"mathvariant\": \"normal\"\n }), \"\\u2223\")), mdx(\"annotation\", _extends({\n parentName: \"semantics\"\n }, {\n \"encoding\": \"application/x-tex\"\n }), \"\\\\Delta_{ABC}=1 / 2 \\\\times | \\\\vec{AB} \\\\times \\\\vec{AC} |\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"katex-html\",\n \"aria-hidden\": \"true\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"0.83333em\",\n \"verticalAlign\": \"-0.15em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), \"\\u0394\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.32833099999999993em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"0em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"A\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\",\n \"style\": {\n \"marginRight\": \"0.05017em\"\n }\n }), \"B\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\",\n \"style\": {\n \"marginRight\": \"0.07153em\"\n }\n }), \"C\"))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2777777777777778em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mrel\"\n }), \"=\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2777777777777778em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), \"1\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), \"/\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), \"2\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\xD7\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1.21633em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), \"\\u2223\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord accent\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.9663299999999999em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"A\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.05017em\"\n }\n }), \"B\"))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3.25233em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"accent-body\",\n \"style\": {\n \"left\": \"-0.2355em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"overlay\",\n \"style\": {\n \"height\": \"0.714em\",\n \"width\": \"0.471em\"\n }\n }), mdx(\"svg\", _extends({\n parentName: \"span\"\n }, {\n \"width\": \"0.471em\",\n \"height\": \"0.714em\",\n \"style\": {\n \"width\": \"0.471em\"\n },\n \"viewBox\": \"0 0 471 714\",\n \"preserveAspectRatio\": \"xMinYMin\"\n }), mdx(\"path\", _extends({\n parentName: \"svg\"\n }, {\n \"d\": \"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\\nc-16-25.333-24-45-24-59z\"\n })))))))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\xD7\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1.21633em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord accent\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.9663299999999999em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"A\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.07153em\"\n }\n }), \"C\"))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3.25233em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"accent-body\",\n \"style\": {\n \"left\": \"-0.2355em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"overlay\",\n \"style\": {\n \"height\": \"0.714em\",\n \"width\": \"0.471em\"\n }\n }), mdx(\"svg\", _extends({\n parentName: \"span\"\n }, {\n \"width\": \"0.471em\",\n \"height\": \"0.714em\",\n \"style\": {\n \"width\": \"0.471em\"\n },\n \"viewBox\": \"0 0 471 714\",\n \"preserveAspectRatio\": \"xMinYMin\"\n }), mdx(\"path\", _extends({\n parentName: \"svg\"\n }, {\n \"d\": \"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\\nc-16-25.333-24-45-24-59z\"\n })))))))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), \"\\u2223\"))))), mdx(\"p\", null, \"and \"), mdx(\"p\", null, mdx(\"span\", _extends({\n parentName: \"p\"\n }, {\n \"className\": \"katex\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"katex-mathml\"\n }), mdx(\"math\", _extends({\n parentName: \"span\"\n }, {\n \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n }), mdx(\"semantics\", {\n parentName: \"math\"\n }, mdx(\"mrow\", {\n parentName: \"semantics\"\n }, mdx(\"mover\", _extends({\n parentName: \"mrow\"\n }, {\n \"accent\": \"true\"\n }), mdx(\"mrow\", {\n parentName: \"mover\"\n }, mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"A\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"B\")), mdx(\"mo\", {\n parentName: \"mover\"\n }, \"\\u20D7\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\xD7\"), mdx(\"mover\", _extends({\n parentName: \"mrow\"\n }, {\n \"accent\": \"true\"\n }), mdx(\"mrow\", {\n parentName: \"mover\"\n }, mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"A\"), mdx(\"mi\", {\n parentName: \"mrow\"\n }, \"C\")), mdx(\"mo\", {\n parentName: \"mover\"\n }, \"\\u20D7\")), mdx(\"mspace\", _extends({\n parentName: \"mrow\"\n }, {\n \"linebreak\": \"newline\"\n })), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"=\"), mdx(\"mi\", _extends({\n parentName: \"mrow\"\n }, {\n \"mathvariant\": \"normal\"\n }), \"\\u2223\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \"(\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"x\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"b\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\u2212\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"x\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"a\")), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \")\"), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\xD7\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \"(\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"y\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"c\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\u2212\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"y\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"a\")), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \")\"), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\u2212\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \"(\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"y\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"b\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\u2212\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"y\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"a\")), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \")\"), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\xD7\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \"(\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"x\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"c\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\u2212\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"x\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"a\")), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \")\"), mdx(\"mi\", _extends({\n parentName: \"mrow\"\n }, {\n \"mathvariant\": \"normal\"\n }), \"\\u2223\"), mdx(\"mspace\", _extends({\n parentName: \"mrow\"\n }, {\n \"linebreak\": \"newline\"\n })), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"=\"), mdx(\"mi\", _extends({\n parentName: \"mrow\"\n }, {\n \"mathvariant\": \"normal\"\n }), \"\\u2223\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \"(\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"x\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"a\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\xD7\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"y\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"b\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"+\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"x\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"b\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\xD7\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"y\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"c\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"+\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"x\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"c\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\xD7\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"y\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"a\")), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \")\"), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\u2212\"), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \"(\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"x\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"c\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\xD7\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"y\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"b\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"+\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"x\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"b\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\xD7\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"y\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"a\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\u2212\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"x\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"a\")), mdx(\"mo\", {\n parentName: \"mrow\"\n }, \"\\xD7\"), mdx(\"msub\", {\n parentName: \"mrow\"\n }, mdx(\"mi\", {\n parentName: \"msub\"\n }, \"y\"), mdx(\"mi\", {\n parentName: \"msub\"\n }, \"c\")), mdx(\"mo\", _extends({\n parentName: \"mrow\"\n }, {\n \"stretchy\": \"false\"\n }), \")\"), mdx(\"mi\", _extends({\n parentName: \"mrow\"\n }, {\n \"mathvariant\": \"normal\"\n }), \"\\u2223\")), mdx(\"annotation\", _extends({\n parentName: \"semantics\"\n }, {\n \"encoding\": \"application/x-tex\"\n }), \"\\\\vec{AB} \\\\times \\\\vec{AC} \\\\\\\\ = |(x_b - x_a) \\\\times (y_c - y_a) - (y_b -y_a) \\\\times (x_c - x_a)| \\\\\\\\ = |(x_a \\\\times y_b + x_b \\\\times y_c + x_c \\\\times y_a) - (x_c \\\\times y_b + x_b \\\\times y_a - x_a \\\\times y_c)|\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"katex-html\",\n \"aria-hidden\": \"true\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1.0496599999999998em\",\n \"verticalAlign\": \"-0.08333em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord accent\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.9663299999999999em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"A\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.05017em\"\n }\n }), \"B\"))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3.25233em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"accent-body\",\n \"style\": {\n \"left\": \"-0.2355em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"overlay\",\n \"style\": {\n \"height\": \"0.714em\",\n \"width\": \"0.471em\"\n }\n }), mdx(\"svg\", _extends({\n parentName: \"span\"\n }, {\n \"width\": \"0.471em\",\n \"height\": \"0.714em\",\n \"style\": {\n \"width\": \"0.471em\"\n },\n \"viewBox\": \"0 0 471 714\",\n \"preserveAspectRatio\": \"xMinYMin\"\n }), mdx(\"path\", _extends({\n parentName: \"svg\"\n }, {\n \"d\": \"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\\nc-16-25.333-24-45-24-59z\"\n })))))))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\xD7\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"0.9663299999999999em\",\n \"verticalAlign\": \"0em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord accent\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.9663299999999999em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"A\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.07153em\"\n }\n }), \"C\"))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-3.25233em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"3em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"accent-body\",\n \"style\": {\n \"left\": \"-0.2355em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"overlay\",\n \"style\": {\n \"height\": \"0.714em\",\n \"width\": \"0.471em\"\n }\n }), mdx(\"svg\", _extends({\n parentName: \"span\"\n }, {\n \"width\": \"0.471em\",\n \"height\": \"0.714em\",\n \"style\": {\n \"width\": \"0.471em\"\n },\n \"viewBox\": \"0 0 471 714\",\n \"preserveAspectRatio\": \"xMinYMin\"\n }), mdx(\"path\", _extends({\n parentName: \"svg\"\n }, {\n \"d\": \"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\\nc-16-25.333-24-45-24-59z\"\n }))))))))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace newline\"\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"0.36687em\",\n \"verticalAlign\": \"0em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mrel\"\n }), \"=\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2777777777777778em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), \"\\u2223\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mopen\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"x\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.33610799999999996em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"0em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"b\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\u2212\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"x\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"0em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"a\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mclose\"\n }), \")\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\xD7\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mopen\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.03588em\"\n }\n }), \"y\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"-0.03588em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"c\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\u2212\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.03588em\"\n }\n }), \"y\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"-0.03588em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"a\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mclose\"\n }), \")\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\u2212\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mopen\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.03588em\"\n }\n }), \"y\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.33610799999999996em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"-0.03588em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"b\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\u2212\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.03588em\"\n }\n }), \"y\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"-0.03588em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"a\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mclose\"\n }), \")\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\xD7\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mopen\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"x\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"0em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"c\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\u2212\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"x\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"0em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"a\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mclose\"\n }), \")\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), \"\\u2223\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace newline\"\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"0.36687em\",\n \"verticalAlign\": \"0em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mrel\"\n }), \"=\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2777777777777778em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), \"\\u2223\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mopen\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"x\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"0em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"a\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\xD7\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"0.7777700000000001em\",\n \"verticalAlign\": \"-0.19444em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.03588em\"\n }\n }), \"y\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.33610799999999996em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"-0.03588em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"b\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"+\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"0.73333em\",\n \"verticalAlign\": \"-0.15em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"x\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.33610799999999996em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"0em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"b\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\xD7\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"0.7777700000000001em\",\n \"verticalAlign\": \"-0.19444em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.03588em\"\n }\n }), \"y\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"-0.03588em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"c\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"+\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"0.73333em\",\n \"verticalAlign\": \"-0.15em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"x\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"0em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"c\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\xD7\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.03588em\"\n }\n }), \"y\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"-0.03588em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"a\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mclose\"\n }), \")\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\u2212\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mopen\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"x\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"0em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"c\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\xD7\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"0.7777700000000001em\",\n \"verticalAlign\": \"-0.19444em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.03588em\"\n }\n }), \"y\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.33610799999999996em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"-0.03588em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"b\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"+\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"0.73333em\",\n \"verticalAlign\": \"-0.15em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"x\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.33610799999999996em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"0em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"b\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\xD7\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"0.7777700000000001em\",\n \"verticalAlign\": \"-0.19444em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.03588em\"\n }\n }), \"y\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"-0.03588em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"a\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\u2212\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"0.73333em\",\n \"verticalAlign\": \"-0.15em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\"\n }), \"x\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"0em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"a\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mbin\"\n }), \"\\xD7\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mspace\",\n \"style\": {\n \"marginRight\": \"0.2222222222222222em\"\n }\n }))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"base\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"strut\",\n \"style\": {\n \"height\": \"1em\",\n \"verticalAlign\": \"-0.25em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal\",\n \"style\": {\n \"marginRight\": \"0.03588em\"\n }\n }), \"y\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"msupsub\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-t vlist-t2\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.151392em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"style\": {\n \"top\": \"-2.5500000000000003em\",\n \"marginLeft\": \"-0.03588em\",\n \"marginRight\": \"0.05em\"\n }\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"pstrut\",\n \"style\": {\n \"height\": \"2.7em\"\n }\n })), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"sizing reset-size6 size3 mtight\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord mathnormal mtight\"\n }), \"c\")))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-s\"\n }), \"\\u200B\")), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist-r\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"vlist\",\n \"style\": {\n \"height\": \"0.15em\"\n }\n }), mdx(\"span\", {\n parentName: \"span\"\n })))))), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mclose\"\n }), \")\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"mord\"\n }), \"\\u2223\"))))));\n}\n;\nMDXContent.isMDXComponent = true;","frontmatter":{"title":"Calculate the area of triangle in algorithm question","date":"July 16, 2019","description":"Introduce how to 👨🏻‍💻 calculate the area of triangle in cartesian coordinate system.","tags":["Algorithm","Math"]},"fields":{"langKey":"en","directoryName":"calculate-the-area-of-triangle-in-algorithm-question","slug":"calculate-the-area-of-triangle-in-algorithm-question"}}},"pageContext":{"slug":"calculate-the-area-of-triangle-in-algorithm-question","langKey":"en","previous":{"fields":{"langKey":"en","directoryName":"best-time-to-buy-stock","slug":"best-time-to-buy-stock"},"frontmatter":{"title":"Best time to buy stock"}},"next":{"fields":{"langKey":"en","directoryName":"pytest-tutorial","slug":"pytest-tutorial"},"frontmatter":{"title":"Pytest Tutorial: An Overview and walkthrough"}},"translations":["en"]}},"staticQueryHashes":["2841359383"]}