{"id":72,"date":"2023-09-16T13:03:21","date_gmt":"2023-09-16T13:03:21","guid":{"rendered":"https:\/\/mathority.org\/ja\/2-%e3%81%a4%e3%81%ae%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%81%ae%e5%a4%96%e7%a9%8d-%e3%82%af%e3%83%ad%e3%82%b9%e5%85%ac%e5%bc%8f%e3%81%ae%e4%be%8b-%e8%a7%a3%e6%b1%ba%e3%81%95%e3%82%8c%e3%81%9f\/"},"modified":"2023-09-16T13:03:21","modified_gmt":"2023-09-16T13:03:21","slug":"2-%e3%81%a4%e3%81%ae%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%81%ae%e5%a4%96%e7%a9%8d-%e3%82%af%e3%83%ad%e3%82%b9%e5%85%ac%e5%bc%8f%e3%81%ae%e4%be%8b-%e8%a7%a3%e6%b1%ba%e3%81%95%e3%82%8c%e3%81%9f","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/2-%e3%81%a4%e3%81%ae%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%81%ae%e5%a4%96%e7%a9%8d-%e3%82%af%e3%83%ad%e3%82%b9%e5%85%ac%e5%bc%8f%e3%81%ae%e4%be%8b-%e8%a7%a3%e6%b1%ba%e3%81%95%e3%82%8c%e3%81%9f\/","title":{"rendered":"2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d (\u307e\u305f\u306f\u5916\u7a4d)"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u3068\u306f\u4f55\u304b\u3001\u304a\u3088\u3073\u305d\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u53f3\u624b\u306e\u6cd5\u5247 (\u307e\u305f\u306f\u30b3\u30eb\u30af\u6813\u629c\u304d) \u3092\u4f7f\u7528\u3057\u3066\u3001\u5916\u7a4d\u306e\u65b9\u5411\u3068\u65b9\u5411\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3082\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u64cd\u4f5c\u306e\u4f7f\u7528\u6cd5\u3060\u3051\u3067\u306a\u304f\u3001\u4f8b\u3001\u6f14\u7fd2\u3001\u554f\u984c\u304c\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u308b\u3053\u3068\u3082\u308f\u304b\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-producto-vectorial-de-dos-vectores\"><\/span> 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6570\u5b66\u3067\u306f\u3001<strong>\u5916\u7a4d\u306f<\/strong>3 \u6b21\u5143\u7a7a\u9593 (R3) \u5185\u306e 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u9593\u306e\u6f14\u7b97\u3067\u3059\u3002\u3053\u306e\u30d9\u30af\u30c8\u30eb\u6f14\u7b97\u306e\u7d50\u679c\u306f\u3001\u4e57\u7b97\u3055\u308c\u305f 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306b\u5782\u76f4\u306a\u65b9\u5411\u3092\u6301\u3061\u3001\u30e2\u30b8\u30e5\u30fc\u30eb\u304c\u4e57\u7b97\u30d9\u30af\u30c8\u30eb\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u3068\u305d\u308c\u3089\u304c\u5f62\u6210\u3059\u308b\u89d2\u5ea6\u306e\u6b63\u5f26\u306e\u7a4d\u306b\u7b49\u3057\u3044\u30d9\u30af\u30c8\u30eb\u306b\u306a\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u305d\u306e\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-625267c9d98347748a771c7cec9bfcec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}}\\rvert = \\lvert \\vv{\\text{u}} \\rvert \\cdot \\lvert \\vv{\\text{v}}\\rvert \\cdot \\text{sen}(\\alpha)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"186\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u524d\u306e\u5f0f\u3067\u308f\u304b\u308b\u3088\u3046\u306b\u3001\u5916\u7a4d\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-850177c0489097bd9409ba9b13b07506_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\times}\" title=\"Rendered by QuickLaTeX.com\" height=\"9\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u3001\u305d\u306e\u305f\u3081\u3001<strong>\u5916\u7a4d\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002<\/strong>\u5f7c\u304c\u767a\u660e\u3057\u305f\u305f\u3081\u3001\u30ae\u30d6\u30b9 \u30d9\u30af\u30c8\u30eb\u7a4d\u3068\u547c\u3070\u308c\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/quel-est-le-produit-vectoriel-de-deux-vecteurs-.webp\" alt=\"\" class=\"wp-image-3883\" width=\"307\" height=\"310\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p>\u524d\u306e\u30b0\u30e9\u30d5\u8868\u793a\u3067\u308f\u304b\u308b\u3088\u3046\u306b\u3001\u5916\u7a4d\u306f\u4e57\u7b97\u3055\u308c\u308b 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306b\u5bfe\u3057\u3066\u5782\u76f4\u3067\u3042\u308b\u305f\u3081\u3001\u305d\u308c\u3089\u3092\u542b\u3080\u5e73\u9762\u306b\u5bfe\u3057\u3066\u5782\u76f4\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-para-calcular-el-producto-vectorial-de-dos-vectores\"><\/span> 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u304c\u308f\u304b\u3063\u3066\u3044\u308b\u5834\u5408\u3001\u305d\u306e\u5916\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u6700\u3082\u7c21\u5358\u306a\u65b9\u6cd5\u306f\u30013&#215;3 \u306e\u884c\u5217\u5f0f\u3092\u89e3\u304f\u3053\u3068\u3067\u3059\u3002\u305d\u308c\u304c\u3069\u306e\u3088\u3046\u306b\u884c\u308f\u308c\u308b\u304b\u3092\u898b\u3066\u304f\u3060\u3055\u3044: <\/p>\n<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;\">\n<p style=\"text-align:left\">\u4efb\u610f\u306e 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-581394386a4c68ca2bfa92fb4e2445ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}= (\\text{u}_x,\\text{u}_y,\\text{u}_z) \\qquad \\vv{\\text{v}}= (\\text{v}_x,\\text{v}_y,\\text{v}_z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"267\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\">\u305d\u306e\u30d9\u30af\u30c8\u30eb\u7a4d\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-56551111a4f5a18a4609772ebaeaf919_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\times \\vv{\\text{v}}=\\begin{vmatrix} \\vv{i}&amp; \\vv{j}&amp; \\vv{k} \\\\[1.1ex] \\text{u}_x &amp; \\text{u}_y &amp; \\text{u}_z \\\\[1.1ex] \\text{v}_x &amp;\\text{v}_y&amp;\\text{v}_z \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"159\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\">\u30d9\u30af\u30c8\u30eb\u304c\u3069\u3053\u306b\u3042\u308b\u304b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-899f7cb82c85508ac2129e2393976f80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{i}, \\vv{j},\\vv{k}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"38\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u3053\u308c\u3089\u306f\u305d\u308c\u305e\u308c X\u3001Y\u3001Z \u8ef8\u65b9\u5411\u306e\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u3067\u3059\u3002<\/p>\n<\/div>\n<p> 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u9593\u306e\u5916\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u306e\u4f8b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-89a657062237b32001dad723a07ad2ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}= (3,1,0) \\qquad \\vv{\\text{v}}= (2,1,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"227\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u30d9\u30af\u30c8\u30eb\u9593\u306e\u30d9\u30af\u30c8\u30eb\u7a4d\u3092\u6c7a\u5b9a\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u6b21\u6570 3 \u306e\u884c\u5217\u5f0f\u3092\u4f5c\u6210\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-abc77b698bf6f4fddec1ab2dcc8b07f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\times \\vv{\\text{v}}=\\begin{vmatrix} \\vv{i}&amp; \\vv{j}&amp; \\vv{k} \\\\[1.1ex] 3&amp; 1 &amp; 0 \\\\[1.1ex] 2 &amp;1&amp;-1 \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"145\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u30a2\u30b8\u30e5\u30d0\u30f3\u30c8\u307e\u305f\u306f\u88dc\u56e0\u5b50\u306b\u3088\u3063\u3066\u884c\u5217\u5f0f\u3092\u89e3\u304d\u307e\u3059 (Sarrus \u30eb\u30fc\u30eb\u3082\u4f7f\u7528\u3067\u304d\u307e\u3059)\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eeeac04b3f0edd64e5413629051551fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\vv{\\text{u}} \\times \\vv{\\text{v}}=\\begin{vmatrix} \\vv{i}&amp; \\vv{j}&amp; \\vv{k} \\\\[1.1ex] 3&amp; 1 &amp; 0 \\\\[1.1ex] 2 &amp;1&amp;-1 \\end{vmatrix} &amp; = \\vv{i}\\begin{vmatrix} 1 &amp; 0 \\\\[1.1ex] 1&amp;-1 \\end{vmatrix} -\\vv{j}\\begin{vmatrix}  3&amp;  0 \\\\[1.1ex] 2 &amp;-1 \\end{vmatrix}+\\vv{z}\\begin{vmatrix}3&amp; 1 \\\\[1.1ex] 2 &amp;1 \\end{vmatrix}  \\\\[2ex] &amp; = -\\vv{i}+3\\vv{j}+\\vv{z}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"128\" width=\"411\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u30d9\u30af\u30c8\u30eb\u7a4d\u306e\u7d50\u679c\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-625f3af33d3cd3b9991682014c911024_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\times \\vv{\\text{v}}=\\bm{(-1,3,1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"134\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"determinar-la-direccion-y-el-sentido-del-producto-vectorial\"><\/span>\u5916\u7a4d\u306e\u65b9\u5411\u3068\u65b9\u5411\u3092\u6c7a\u5b9a\u3057\u307e\u3059<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5916\u7a4d\u304b\u3089\u5f97\u3089\u308c\u308b\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u3092\u77e5\u308b\u5fc5\u8981\u304c\u306a\u3044\u5834\u5408\u3082\u3042\u308a\u307e\u3059\u304c\u3001\u30e2\u30b8\u30e5\u30fc\u30eb\u3001\u305d\u306e\u65b9\u5411\u3001\u304a\u3088\u3073\u305d\u306e\u65b9\u5411\u3092\u898b\u3064\u3051\u308b\u3060\u3051\u3067\u5341\u5206\u3067\u3059\u3002\u3053\u308c\u306f\u7269\u7406\u5b66\u3001\u7279\u306b\u529b\u306e\u8a08\u7b97\u3067\u3088\u304f\u8d77\u3053\u308a\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u30d9\u30af\u30c8\u30eb\u306e\u7a4d\u306e\u65b9\u5411\u3068\u65b9\u5411\u3092\u6c42\u3081\u308b\u305f\u3081\u306e\u898f\u5247\u304c\u3044\u304f\u3064\u304b\u3042\u308a\u307e\u3059\u3002\u6700\u3082\u3088\u304f\u77e5\u3089\u308c\u3066\u3044\u308b\u306e\u306f\u30013 \u672c\u306e\u6307\u307e\u305f\u306f\u624b\u5168\u4f53\u3092\u4f7f\u7528\u3059\u308b<strong>\u53f3\u624b\u306e\u6cd5\u5247<\/strong>\u3068\u3001<strong>\u30b3\u30eb\u30af\u629c\u304d\u306e\u6cd5\u5247 (\u307e\u305f\u306f\u30cd\u30b8)<\/strong>\u3067\u3059\u3002\u3069\u308c\u3067\u3082\u4f7f\u7528\u3067\u304d\u308b\u306e\u3067\u3001\u3059\u3079\u3066\u3092\u77e5\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u5f15\u304d\u7d9a\u304d 3 \u3064\u306e\u30eb\u30fc\u30eb\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u306e\u3067\u3001\u6700\u3082\u6c17\u306b\u5165\u3063\u305f\u3082\u306e\u3092\u4f7f\u7528\u3057\u3066\u304f\u3060\u3055\u3044\u3002 \ud83d\ude09<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"regla-de-la-mano-derecha-3-dedos\"><\/span>\u53f3\u624b\u306e\u6cd5\u5247\uff083\u672c\u6307\uff09<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u53f3\u624b\u306e\u30eb\u30fc\u30eb\u307e\u305f\u306f\u6cd5\u5247\u306e 3 \u672c\u6307\u30d0\u30fc\u30b8\u30e7\u30f3\u3067\u306f\u3001\u6b21\u306e\u624b\u9806\u3092\u5b9f\u884c\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ol style=\"color:#ff6f00; font-weight: bold;>\n<li><span style=\" color:#262626;font-weight:=\"\" normal;\"=\"\">\n<li style=\"margin-bottom:18px\"><span style=\"color:#000000;font-weight: normal;\">\u53f3\u624b\u306e\u4eba\u5dee\u3057\u6307\u3092\u5916\u7a4d\u306e\u6700\u521d\u306e\u30d9\u30af\u30c8\u30eb\u306b\u5411\u3051\u3066\u7f6e\u304d\u307e\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a13b5c3a9f833efc0ddf4caf790f0483_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(\\vv{\\text{u}}).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"27\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#000000;font-weight: normal;\">\u53f3\u624b\u306e\u4e2d\u6307 (\u307e\u305f\u306f\u4e2d\u6307) \u3092\u5916\u7a4d\u306e 2 \u756a\u76ee\u306e\u30d9\u30af\u30c8\u30eb\u306b\u5411\u3051\u3066\u7f6e\u304d\u307e\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-acab6198e5d0337e7d0e9ed7814c16d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(\\vv{\\text{v}}).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"26\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li><span style=\"color:#000000;font-weight: normal;\">\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u89aa\u6307\u306e\u4f4d\u7f6e\u306f\u3001\u5916\u7a4d\u306e\u65b9\u5411\u3068\u65b9\u5411\u3092\u793a\u3057\u307e\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2fce88450a631ec24e37f45befae0675_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(\\vv{\\text{u}}\\times\\vv{\\text{v}}).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"58\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span> <\/li>\n<\/ol>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/regle-ou-loi-de-la-main-droite.webp\" alt=\"\" class=\"wp-image-892\" width=\"392\" height=\"353\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"regla-de-la-mano-derecha-palma-de-la-mano\"><\/span>\u53f3\u624b\u306e\u6cd5\u5247\uff08\u624b\u306e\u3072\u3089\uff09<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u53f3\u624b\u306e\u6cd5\u5247\u307e\u305f\u306f\u6cd5\u5247\u306e\u624b\u306e\u3072\u3089\u30d0\u30fc\u30b8\u30e7\u30f3\u306f\u3001\u524d\u306e\u30eb\u30fc\u30eb\u3068\u975e\u5e38\u306b\u3088\u304f\u4f3c\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u3092\u9069\u7528\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u624b\u9806\u306b\u5f93\u3046\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ol style=\"color:#ff6f00; font-weight: bold;>\n<li><span style=\" color:#262626;font-weight:=\"\" normal;\"=\"\">\n<li style=\"margin-bottom:18px\"><span style=\"color:#000000;font-weight: normal;\">\u53f3\u624b\u3092\u6307\u3067\u5916\u7a4d\u306e\u6700\u521d\u306e\u30d9\u30af\u30c8\u30eb\u3068\u540c\u3058\u65b9\u5411\u306b\u5411\u3051\u307e\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a13b5c3a9f833efc0ddf4caf790f0483_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(\\vv{\\text{u}}).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"27\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#000000;font-weight: normal;\">\u5916\u7a4d\u306e 2 \u756a\u76ee\u306e\u30d9\u30af\u30c8\u30eb\u306b\u5411\u304b\u3063\u3066\u6307\u3092\u52d5\u304b\u3057\u3066\u53f3\u624b\u3092\u9589\u3058\u307e\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-acab6198e5d0337e7d0e9ed7814c16d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(\\vv{\\text{v}}).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"26\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span>\u30d9\u30af\u30c8\u30eb\u9593\u306e\u89d2\u5ea6\uff08\u307e\u305f\u306f\u8ddd\u96e2\uff09\u304c\u5c0f\u3055\u3044\u5074\u3067\u624b\u3092\u9589\u3058\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/li>\n<li><span style=\"color:#000000;font-weight: normal;\">\u7d50\u679c\u3068\u3057\u3066\u751f\u3058\u308b\u89aa\u6307\u306e\u4f4d\u7f6e\u306b\u3088\u3063\u3066\u3001\u5916\u7a4d\u306e\u65b9\u5411\u304c\u6c7a\u307e\u308a\u307e\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2fce88450a631ec24e37f45befae0675_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(\\vv{\\text{u}}\\times\\vv{\\text{v}}).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"58\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span> <\/li>\n<\/ol>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/vecteur-produit-regle-de-droite.webp\" alt=\"\u53f3\u624b\u306e\u5b9a\u898f\u30d9\u30af\u30c8\u30eb\u88fd\u54c1\" class=\"wp-image-898\" width=\"373\" height=\"342\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"regla-del-sacacorchos\"><\/span>\u30b3\u30eb\u30af\u629c\u304d\u30eb\u30fc\u30eb<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u30b3\u30eb\u30af\u6813\u629c\u304d\u307e\u305f\u306f\u306d\u3058\u306e\u6cd5\u5247\u306f\u3001<\/strong>\u624b\u306e\u3072\u3089\u5168\u4f53\u3092\u4f7f\u7528\u3059\u308b\u53f3\u624b\u306e\u6cd5\u5247\u306b\u4f3c\u3066\u3044\u307e\u3059\u3002\u624b\u9806\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<ol style=\"color:#ff6f00; font-weight: bold;>\n<li><span style=\" color:#262626;font-weight:=\"\" normal;\"=\"\">\n<li style=\"margin-bottom:18px\"><span style=\"color:#000000;font-weight: normal;\">\u60f3\u50cf\u529b\u3092\u50cd\u304b\u305b\u3066\u3001\u30cf\u30f3\u30c9\u30eb\u304c\u5916\u7a4d\u306e\u6700\u521d\u306e\u30d9\u30af\u30c8\u30eb\u3068\u540c\u3058\u65b9\u5411\u3092\u5411\u304f\u3088\u3046\u306b\u30b3\u30eb\u30af\u6813\u629c\u304d (\u307e\u305f\u306f\u30cd\u30b8) \u3092\u914d\u7f6e\u3057\u307e\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a13b5c3a9f833efc0ddf4caf790f0483_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(\\vv{\\text{u}}).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"27\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#000000;font-weight: normal;\">\u6b21\u306b\u3001\u30b3\u30eb\u30af\u629c\u304d\u3092\u5916\u7a4d\u306e 2 \u756a\u76ee\u306e\u30d9\u30af\u30c8\u30eb\u306b\u5411\u3051\u3066\u56de\u8ee2\u3055\u305b\u307e\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4c87e248254db96e4d2c996a62911e87_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(\\vv{\\text{v}})\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"21\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span>\u307e\u308b\u3067\u30b3\u30eb\u30af\u306b\u8a70\u3081\u308b\u304b\u306e\u3088\u3046\u306b\u3002\u30d9\u30af\u30c8\u30eb\u9593\u306e\u8ddd\u96e2\u304c\u6700\u3082\u77ed\u304f\u306a\u308b\u5074\u306b\u30b3\u30eb\u30af\u629c\u304d\u3092\u56de\u3059\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/li>\n<li><span style=\"color:#000000;font-weight: normal;\">\u30b3\u30eb\u30af\u6813\u629c\u304d\u306e\u87ba\u65cb\u304c\u6307\u3059\u65b9\u5411\u304c\u30d9\u30af\u30c8\u30eb\u7a4d\u306e\u65b9\u5411\u3068\u65b9\u5411\u306b\u306a\u308a\u307e\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2fce88450a631ec24e37f45befae0675_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(\\vv{\\text{u}}\\times\\vv{\\text{v}}).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"58\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span> <\/li>\n<\/ol>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/regle-du-tire-bouchon-ou-de-la-vis.webp\" alt=\"\u30b3\u30eb\u30af\u629c\u304d\u307e\u305f\u306f\u30cd\u30b8\u5b9a\u898f\" class=\"wp-image-902\" width=\"327\" height=\"500\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-del-producto-vectorial-de-dos-vectores\"><\/span> 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u306e\u30d7\u30ed\u30d1\u30c6\u30a3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u306b\u306f\u6b21\u306e\u7279\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li><strong>\u53cd\u53ef\u63db\u6027:<\/strong>\u7b26\u53f7\u304c\u305d\u308c\u306b\u5fdc\u3058\u3066\u5909\u5316\u3059\u308b\u305f\u3081\u3001\u30d9\u30af\u30c8\u30eb\u7a4d\u306b\u542b\u307e\u308c\u308b\u30d9\u30af\u30c8\u30eb\u306e\u9806\u5e8f\u306f\u7121\u95a2\u4fc2\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-da6aeea2768e41a7e3630dc83ff1e31b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}\\times\\vv{\\text{v}} = - \\vv{\\text{v}}\\times\\vv{\\text{u}}\" title=\"Rendered by QuickLaTeX.com\" height=\"9\" width=\"119\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li>\u30d9\u30af\u30c8\u30eb\u306e\u52a0\u7b97\u3068\u6e1b\u7b97\u306b\u95a2\u3059\u308b<strong>\u5206\u914d\u7279\u6027<\/strong>:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bfddca49d7ded207f392f54341fff56d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}\\times(\\vv{\\text{v}}+\\vv{\\text{w}}) = \\vv{\\text{u}}\\times\\text{v}}+\\vv{\\text{u}}\\times \\vv{\\text{w}}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"220\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-68e08abafcbf4b05614819ca1a364a47_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}\\times(\\vv{\\text{v}}-\\vv{\\text{w}}) = \\vv{\\text{u}}\\times\\text{v}}-\\vv{\\text{u}}\\times \\vv{\\text{w}}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"220\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u540c\u6b21\u7279\u6027<\/strong>: \u5916\u7a4d\u306e\u30d9\u30af\u30c8\u30eb\u306b\u30b9\u30ab\u30e9\u30fc (\u5b9f\u6570) \u3092\u4e57\u7b97\u3059\u308b\u3053\u3068\u306f\u3001\u5916\u7a4d\u306e\u7d50\u679c\u306b\u305d\u306e\u30b9\u30ab\u30e9\u30fc\u3092\u4e57\u7b97\u3059\u308b\u3053\u3068\u3068\u540c\u3058\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2ee3552bb6b72db4d30b4aa9f73e99a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k \\cdot (\\vv{\\text{u}}\\times\\vv{\\text{v}}) =  (k\\cdot \\vv{\\text{u}})\\times\\vv{\\text{v}}=\\vv{\\text{u}}\\times(k\\cdot\\vv{\\text{v}})\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"278\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u30d9\u30af\u30c8\u30eb\u7a4d\u304b\u3089\u5f97\u3089\u308c\u308b\u30d9\u30af\u30c8\u30eb\u306f\u3001\u6f14\u7b97\u306b\u542b\u307e\u308c\u308b 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306b\u5bfe\u3057\u3066<strong>\u5782\u76f4<\/strong>\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a96345e09a0fdb952557c9138c72ac4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c} \\vv{\\text{u}} \\perp (\\vv{\\text{u}}\\times\\vv{\\text{v}}) \\\\[2ex] \\vv{\\text{v}} \\perp (\\vv{\\text{u}}\\times\\vv{\\text{v}}) \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"87\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li>\u3055\u3089\u306b\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u76f4\u4ea4\u3059\u308b\u5834\u5408\u3001\u6b21\u306e\u65b9\u7a0b\u5f0f\u304c\u6e80\u305f\u3055\u308c\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d49d463798c6381c9a8c065417ee3dbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\perp \\vv{\\text{v}} \\ \\longrightarrow \\ \\begin{cases} \\vv{\\text{u}} \\cdot (\\vv{\\text{u}}\\times\\vv{\\text{v}})=0 \\\\[2ex] \\vv{\\text{v}} \\cdot (\\vv{\\text{u}}\\times\\vv{\\text{v}})=0 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"220\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> 2 \u3064\u306e<strong>\u5e73\u884c\u30d9\u30af\u30c8\u30eb<\/strong>\u306e\u5916\u7a4d\u306f\u3001\u30bc\u30ed \u30d9\u30af\u30c8\u30eb (\u307e\u305f\u306f\u30bc\u30ed) \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5a2e4e335c132d024b2932139a51f101_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\ || \\ \\vv{\\text{v}} \\ \\longrightarrow \\ \\vv{\\text{u}}\\times\\vv{\\text{v}}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"165\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u304c\u308f\u304b\u3089\u306a\u3044\u5834\u5408\u3001\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u305d\u308c\u3089\u306e\u30d9\u30af\u30c8\u30eb\u7a4d\u306e\u4fc2\u6570\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f27e24e2a7310fb1e727891c17de911a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}}\\times\\vv{\\text{v}} \\rvert = \\sqrt{ \\lvert \\vv{\\text{u}}\\rvert ^2 \\cdot \\lvert \\vv{\\text{v}} \\rvert ^2 - (\\vv{\\text{u}}\\cdot \\vv{\\text{v}})^2 \\vphantom{\\frac{1}{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"233\" style=\"vertical-align: -10px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calcular-el-area-de-un-paralelogramo-o-un-triangulo-mediante-el-producto-vectorial\"><\/span>\u5916\u7a4d\u3092\u4f7f\u7528\u3057\u3066\u3001\u5e73\u884c\u56db\u8fba\u5f62\u307e\u305f\u306f\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5e7e\u4f55\u5b66\u7684\u306b\u306f\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u306e\u4fc2\u6570\u306f\u3001\u3053\u308c\u3089 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u3092\u8fba\u3068\u3059\u308b\u5e73\u884c\u56db\u8fba\u5f62\u306e\u9762\u7a4d\u3068\u4e00\u81f4\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u5916\u7a4d\u3092\u4f7f\u7528\u3057\u3066\u3001\u5e73\u884c\u56db\u8fba\u5f62\u306e\u9762\u7a4d\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/strong> <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/produit-vectoriel-de-deux-vecteurs-dans-lespace.webp\" alt=\"\u7a7a\u9593\u5185\u306e 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\" class=\"wp-image-929\" width=\"300\" height=\"173\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p>\u3055\u3089\u306b\u3001\u5e73\u884c\u56db\u8fba\u5f62\u306e\u5bfe\u89d2\u7dda\u306f\u305d\u308c\u3092 2 \u3064\u306e\u4e09\u89d2\u5f62\u306b\u5206\u5272\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u4e09\u89d2\u5f62\u306f\u5e73\u884c\u56db\u8fba\u5f62\u306e\u534a\u5206\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u306f\u3001<\/strong> 2 \u3064\u306e\u8fba\u3092\u30d9\u30af\u30c8\u30eb\u3068\u3057\u3066\u3068\u3063\u305f\u5916\u7a4d\u306e\u4fc2\u6570\u306e\u534a\u5206\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/produit-vectoriel-de-deux-vecteurs-dans-r2.webp\" alt=\"r2 \u306e 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\" class=\"wp-image-927\" width=\"300\" height=\"173\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p> 3 \u6b21\u5143\u7a7a\u9593\u306b\u304a\u3051\u308b\u30d9\u30af\u30c8\u30eb\u306e\u6cd5\u306f\u3001\u305d\u306e\u5ea7\u6a19\u306e\u4e8c\u4e57\u548c\u306e\u6839\u3067\u3042\u308b\u3053\u3068\u3092\u601d\u3044\u51fa\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8cf7995798482007ea32b809e80a4062_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{v}} \\rvert =  \\sqrt{\\vphantom{\\frac{1}{2}} \\text{v}_x^2+\\text{v}_y^2+\\text{v}_z^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"155\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p>\u3053\u308c\u3089\u306f\u3001\u6570\u5b66\u306e\u5206\u91ce\u306b\u304a\u3051\u308b 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u306e 2 \u3064\u306e\u5fdc\u7528\u4f8b\u3067\u3059\u3002\u305f\u3060\u3057\u3001\u7269\u7406\u5b66\u3067\u306f\u78c1\u5834\u306e\u8a08\u7b97\u306b\u4f7f\u7528\u3055\u308c\u308b\u306a\u3069\u3001\u4ed6\u306e\u7528\u9014\u3082\u307e\u3060\u3042\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-productos-vectoriales-de-vectores\"><\/span>\u30d9\u30af\u30c8\u30eb\u306e\u30d9\u30af\u30c8\u30eb\u7a4d\u306b\u95a2\u3059\u308b\u6f14\u7fd2\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u6b21\u306e 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u9593\u306e\u5916\u7a4d\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a1c06e6d75f54661416056d31d409d8f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}= (-1,4,2) \\qquad \\vv{\\text{v}}= (0,-2,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"241\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u30d9\u30af\u30c8\u30eb\u9593\u306e\u30d9\u30af\u30c8\u30eb\u7a4d\u3092\u6c7a\u5b9a\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u6b21\u5143 3\u00d73 \u306e\u884c\u5217\u5f0f\u3092\u89e3\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-44db63ee02936f6e5f21891c3e412fb6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\times \\vv{\\text{v}}=\\begin{vmatrix} \\vv{i}&amp; \\vv{j}&amp; \\vv{k} \\\\[1.1ex] -1&amp; 4 &amp; 2 \\\\[1.1ex] 0 &amp;-2&amp;1  \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"160\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001\u30a2\u30b8\u30e5\u30d0\u30f3\u30c8\u307e\u305f\u306f\u88dc\u56e0\u5b50\u306b\u3088\u3063\u3066\u884c\u5217\u5f0f\u3092\u89e3\u304d\u307e\u3059 (\u305f\u3060\u3057\u3001Sarrus \u30eb\u30fc\u30eb\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059)\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fe298c37814c92498e4fd8ade0620951_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\begin{vmatrix}\\vv{i}&amp; \\vv{j}&amp; \\vv{k} \\\\[1.1ex] -1&amp; 4 &amp; 2 \\\\[1.1ex] 0 &amp;-2&amp;1\\end{vmatrix} &amp; = \\vv{i}\\begin{vmatrix} 4 &amp; 2 \\\\[1.1ex]-2&amp;1\\end{vmatrix} -\\vv{j}\\begin{vmatrix}  -1&amp; 2 \\\\[1.1ex] 0 &amp;1\\end{vmatrix}+\\vv{z}\\begin{vmatrix}-1&amp; 4 \\\\[1.1ex] 0 &amp;-2\\end{vmatrix}  \\\\[2ex] &amp; = 8\\vv{i}+\\vv{j}+2\\vv{z}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"128\" width=\"387\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u30d9\u30af\u30c8\u30eb\u7a4d\u306e\u7d50\u679c\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a1efe3e9fce5a83e193da24a5ff60835_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\times \\vv{\\text{v}}=\\bm{(8,1,2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"120\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 2<\/h3>\n<p>\u6b21\u306e 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u9593\u306e\u5916\u7a4d\u3092\u6c42\u3081\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-210c7ec7b29e06198c491e83e7825a42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}= (3,-2,4) \\qquad \\vv{\\text{v}}= (1,5,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"241\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u9593\u306e\u30d9\u30af\u30c8\u30eb\u7a4d\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u6b21\u306e 3\u00d73 \u884c\u5217\u5f0f\u3092\u89e3\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a23d8e45f9065f70c576e6b8db02465_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\times \\vv{\\text{v}}=\\begin{vmatrix} \\vv{i}&amp; \\vv{j}&amp; \\vv{k} \\\\[1.1ex] 3&amp; -2 &amp; 4 \\\\[1.1ex] 1 &amp;5&amp;-3  \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"159\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001\u884c\u5217\u5f0f\u3092\u968f\u4f34\u56e0\u5b50\u307e\u305f\u306f\u4f59\u56e0\u5b50\u306b\u3088\u3063\u3066\u89e3\u304d\u307e\u3059 (\u305f\u3060\u3057\u3001Sarrus \u306e\u898f\u5247\u306f\u540c\u3058\u610f\u5473\u3067\u4f7f\u7528\u3067\u304d\u307e\u3059)\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02ffb40666893faa7677234065f3f85f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\begin{vmatrix}\\vv{i}&amp; \\vv{j}&amp; \\vv{k} \\\\[1.1ex] 3&amp; -2 &amp; 4 \\\\[1.1ex] 1 &amp;5&amp;-3\\end{vmatrix} &amp; = \\vv{i}\\begin{vmatrix} -2 &amp; 4 \\\\[1.1ex] 5&amp;-3\\end{vmatrix} -\\vv{j}\\begin{vmatrix}  3&amp; 4 \\\\[1.1ex]  1&amp;-3\\end{vmatrix}+\\vv{z}\\begin{vmatrix}3&amp; -2  \\\\[1.1ex] 1 &amp;5\\end{vmatrix}  \\\\[2ex] &amp; = -14\\vv{i}+13\\vv{j}+17\\vv{z}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"128\" width=\"386\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u9593\u306e\u30d9\u30af\u30c8\u30eb\u7a4d\u306e\u7d50\u679c\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a8f7c253fdd7c5be3635a42a3826acfc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\times \\vv{\\text{v}}=\\bm{(-14,13,17)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"160\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 3<\/h3>\n<p> 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u3068\u305d\u308c\u3089\u304c\u5f62\u6210\u3059\u308b\u89d2\u5ea6\u3092\u77e5\u308b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b632ab1324e7ece2d4c1f5c54249b425_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"|\\vv{\\text{u}}|= 5 \\qquad |\\vv{\\text{v}}|= 6 \\qquad \\alpha = 30\u00ba\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"226\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u306e\u5927\u304d\u3055\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6b21\u306e\u5f0f\u3092\u9069\u7528\u3059\u308b\u3068\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u9593\u306e\u30d9\u30af\u30c8\u30eb\u7a4d\u306e\u4fc2\u6570\u3092\u7c21\u5358\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-06dcff41e0dcf31152f0047507056f24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}}\\rvert &amp; = \\lvert \\vv{\\text{u}} \\rvert \\cdot \\lvert \\vv{\\text{v}}\\rvert \\cdot \\text{sen}(\\alpha) \\\\[2ex] &amp; = 5 \\cdot 6 \\cdot \\text{sen}(30\u00ba) \\\\[2ex] &amp;= 30 \\cdot 0,5 \\\\[2ex] &amp;= \\bm{15} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"140\" width=\"186\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 4<\/h3>\n<p>\u30b9\u30af\u30ea\u30fc\u30f3\u5e73\u9762\u306b\u542b\u307e\u308c\u308b\u6b21\u306e\u30d9\u30af\u30c8\u30eb\u304b\u3089: <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/produit-vectoriel-en-ligne-de-deux-vecteurs.webp\" alt=\"\u4e26\u3093\u3060 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\" class=\"wp-image-938\" width=\"151\" height=\"231\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p>\u6b21\u306e\u30d9\u30af\u30c8\u30eb\u6f14\u7b97\u306e\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u30d9\u30af\u30c8\u30eb\u306e\u5927\u304d\u3055\u3001\u65b9\u5411\u3001\u304a\u3088\u3073\u610f\u5473\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-facaf3cf3a645b725e61c9fcb195e53c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}}\\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"47\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306f\u5782\u76f4\u3067\u3042\u308b\u305f\u3081\u3001\u30d9\u30af\u30c8\u30eb\u7a4d\u306e\u30ce\u30eb\u30e0\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d8f675fe7eb44c050c508c4771c0a439_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}}\\rvert &amp; = \\lvert \\vv{\\text{u}} \\rvert \\cdot \\lvert \\vv{\\text{v}}\\rvert \\cdot \\text{sen}(\\alpha) \\\\[2ex] &amp; = 3 \\cdot 4 \\cdot \\text{sen}(90\u00ba) \\\\[2ex] &amp;= 12 \\cdot 1 \\\\[2ex] &amp;= \\bm{12} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"140\" width=\"186\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65b9\u3001\u30d9\u30af\u30c8\u30eb\u7a4d\u304b\u3089\u5f97\u3089\u308c\u308b\u30d9\u30af\u30c8\u30eb\u306f\u3001\u6f14\u7b97\u306b\u95a2\u4e0e\u3059\u308b 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306b\u5bfe\u3057\u3066\u5782\u76f4\u3067\u3042\u308b<strong>\u305f\u3081\u3001\u305d\u306e\u65b9\u5411\u306f\u753b\u9762\u306b\u5bfe\u3057\u3066\u5782\u76f4\u306b\u306a\u308a\u307e\u3059\u3002<\/strong><\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u76f4\u7dda (\u307e\u305f\u306f\u30b3\u30eb\u30af\u6813\u629c\u304d) \u30eb\u30fc\u30eb\u3092\u4f7f\u7528\u3057\u3066\u3001<strong>\u7d50\u679c\u306e\u30d9\u30af\u30c8\u30eb\u306e\u65b9\u5411\u304c\u753b\u9762\u306e\u5185\u5074\u306b\u5411\u304b\u3046\u3068\u63a8\u5b9a\u3067\u304d\u307e\u3059\u3002<\/strong><\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 5<\/h3>\n<p> 2 \u3064\u306e\u8fba\u3068\u3057\u3066\u6b21\u306e\u30d9\u30af\u30c8\u30eb\u3092\u6301\u3064\u5e73\u884c\u56db\u8fba\u5f62\u306e\u9762\u7a4d\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-43326a03cb829fb91d8c265bddf92b8f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}= (2,3,-2) \\qquad \\vv{\\text{v}}= (5,0,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"241\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u5e73\u884c\u56db\u8fba\u5f62\u306e\u9762\u7a4d\u306f\u3001\u305d\u308c\u3092\u5f62\u6210\u3059\u308b\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u306e\u4fc2\u6570\u3068\u4e00\u81f4\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30d9\u30af\u30c8\u30eb\u306e\u30d9\u30af\u30c8\u30eb\u7a4d\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0e7c1825be82d94c4eae49c73f509858_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\vv{\\text{u}}\\times \\vv{\\text{v}} = \\begin{vmatrix}\\vv{i}&amp; \\vv{j}&amp; \\vv{k} \\\\[1.1ex]2&amp; 3 &amp; -2 \\\\[1.1ex] 5 &amp;0&amp;-1\\end{vmatrix} &amp; = \\vv{i}\\begin{vmatrix} 3 &amp; -2 \\\\[1.1ex] 0&amp;-1\\end{vmatrix} -\\vv{j}\\begin{vmatrix}  2&amp; -2 \\\\[1.1ex] 5 &amp;-1\\end{vmatrix}+\\vv{z}\\begin{vmatrix}2&amp; 3  \\\\[1.1ex] 5 &amp;0\\end{vmatrix}  \\\\[2ex] &amp; = -3\\vv{i}-8\\vv{j}-15\\vv{z}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"128\" width=\"411\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u30e2\u30b8\u30e5\u30fc\u30eb\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-164e46102f5d27babfec98f25d479fab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A=\\lvert\\vv{\\text{u}}\\times \\vv{\\text{v}} \\rvert = \\sqrt{\\vphantom{\\frac{1}{2}} (-3)^2+(-8)^2+(-15)^2}=\\bm{17,26} \\ \\mathbf{u}\\bm{^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"404\" style=\"vertical-align: -10px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 6<\/h3>\n<p>\u6b21\u306e\u70b9\u3092\u9802\u70b9\u3068\u3059\u308b\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u6c42\u3081\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dc08f9ac339b7ac3787a449cf5558c68_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(2,1,0) \\qquad B(4,0,3)\\qquad C(-1,2,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"294\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u6700\u521d\u306b\u3001\u4e09\u89d2\u5f62\u306e\u8fba\u3092\u5f62\u6210\u3059\u308b\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f7661fc5ae3b35c76e0fe98203258962_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB} = B- A = (4,0,3)-(2,1,0) = (2,-1,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"351\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5d3f55a240188777fdbb3d74cbf4f61f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{BC} =C- B =(-1,2,3)- (4,0,3) = (-5,2,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"366\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u306f\u3001\u305d\u308c\u3092\u5f62\u6210\u3059\u308b\u30d9\u30af\u30c8\u30eb\u306e\u30d9\u30af\u30c8\u30eb\u7a4d\u306e\u5927\u304d\u3055\u306e\u534a\u5206\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30d9\u30af\u30c8\u30eb\u306e\u30d9\u30af\u30c8\u30eb\u7a4d\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-42a0ae5858bcb681ee92ec1ed67424c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\vv{\\text{u}}\\times \\vv{\\text{v}} = \\begin{vmatrix}\\vv{i}&amp; \\vv{j}&amp; \\vv{k} \\\\[1.1ex]2&amp; -1 &amp; 3 \\\\[1.1ex] -5 &amp;2&amp;0\\end{vmatrix} &amp; = \\vv{i}\\begin{vmatrix} -1 &amp; 3 \\\\[1.1ex] 2&amp;0\\end{vmatrix} -\\vv{j}\\begin{vmatrix}  2&amp;  3 \\\\[1.1ex] -5 &amp;0\\end{vmatrix}+\\vv{z}\\begin{vmatrix}2&amp; -1  \\\\[1.1ex] -5 &amp;2\\end{vmatrix}  \\\\[2ex] &amp; = -6\\vv{i}-15\\vv{j}-\\vv{z}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"128\" width=\"453\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u5f8c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4a52c4a997a5b68d67b9ae52ca599661_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert\\vv{\\text{u}}\\times \\vv{\\text{v}} \\rvert = \\sqrt{\\vphantom{\\frac{1}{2}} (-6)^2+(-15)^2+(-1)^2}=16,19\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"342\" style=\"vertical-align: -10px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u7d42\u7684\u306b\u3001\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u306f\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u534a\u5206\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b56f201265ba609f4b7c75f486120fc8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A=\\cfrac{1}{2}\\cdot  \\lvert\\vv{\\text{u}}\\times \\vv{\\text{v}} \\rvert = \\cfrac{1}{2}\\cdot 16,19=\\bm{8,09} \\ \\mathbf{u}\\bm{^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"284\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u3068\u306f\u4f55\u304b\u3001\u304a\u3088\u3073\u305d\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u53f3\u624b\u306e\u6cd5\u5247 (\u307e\u305f\u306f\u30b3\u30eb\u30af\u6813\u629c\u304d) \u3092\u4f7f\u7528\u3057\u3066\u3001\u5916\u7a4d\u306e\u65b9\u5411\u3068\u65b9\u5411\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3082\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u64cd\u4f5c\u306e\u4f7f\u7528\u6cd5\u3060\u3051\u3067 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/2-%e3%81%a4%e3%81%ae%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%81%ae%e5%a4%96%e7%a9%8d-%e3%82%af%e3%83%ad%e3%82%b9%e5%85%ac%e5%bc%8f%e3%81%ae%e4%be%8b-%e8%a7%a3%e6%b1%ba%e3%81%95%e3%82%8c%e3%81%9f\/\"> <span class=\"screen-reader-text\">2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d (\u307e\u305f\u306f\u5916\u7a4d)<\/span> \u3082\u3063\u3068\u8aad\u3080 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[21],"tags":[],"class_list":["post-72","post","type-post","status-publish","format-standard","hentry","category-21"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u3092\u8a08\u7b97\u3059\u308b(\u4f8b)<\/title>\n<meta name=\"description\" content=\"2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u306e\u8aac\u660e\u3002 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u306b\u95a2\u3059\u308b\u6f14\u7fd2\u304c\u89e3\u6c7a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/ja\/2-\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d-\u30af\u30ed\u30b9\u516c\u5f0f\u306e\u4f8b-\u89e3\u6c7a\u3055\u308c\u305f\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u3092\u8a08\u7b97\u3059\u308b(\u4f8b)\" \/>\n<meta property=\"og:description\" content=\"2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u306e\u8aac\u660e\u3002 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u306b\u95a2\u3059\u308b\u6f14\u7fd2\u304c\u89e3\u6c7a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/ja\/2-\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d-\u30af\u30ed\u30b9\u516c\u5f0f\u306e\u4f8b-\u89e3\u6c7a\u3055\u308c\u305f\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-09-16T13:03:21+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-625267c9d98347748a771c7cec9bfcec_l3.png\" \/>\n<meta name=\"author\" content=\"B1oN0W1@L5\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u57f7\u7b46\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"B1oN0W1@L5\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/ja\/2-%e3%81%a4%e3%81%ae%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%81%ae%e5%a4%96%e7%a9%8d-%e3%82%af%e3%83%ad%e3%82%b9%e5%85%ac%e5%bc%8f%e3%81%ae%e4%be%8b-%e8%a7%a3%e6%b1%ba%e3%81%95%e3%82%8c%e3%81%9f\/\",\"url\":\"https:\/\/mathority.org\/ja\/2-%e3%81%a4%e3%81%ae%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%81%ae%e5%a4%96%e7%a9%8d-%e3%82%af%e3%83%ad%e3%82%b9%e5%85%ac%e5%bc%8f%e3%81%ae%e4%be%8b-%e8%a7%a3%e6%b1%ba%e3%81%95%e3%82%8c%e3%81%9f\/\",\"name\":\"\u25b7 2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u3092\u8a08\u7b97\u3059\u308b(\u4f8b)\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/ja\/#website\"},\"datePublished\":\"2023-09-16T13:03:21+00:00\",\"dateModified\":\"2023-09-16T13:03:21+00:00\",\"author\":{\"@id\":\"https:\/\/mathority.org\/ja\/#\/schema\/person\/c5d030d51df9fedd3b375fd3c5be378e\"},\"description\":\"2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u306e\u8aac\u660e\u3002 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u306b\u95a2\u3059\u308b\u6f14\u7fd2\u304c\u89e3\u6c7a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/ja\/2-%e3%81%a4%e3%81%ae%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%81%ae%e5%a4%96%e7%a9%8d-%e3%82%af%e3%83%ad%e3%82%b9%e5%85%ac%e5%bc%8f%e3%81%ae%e4%be%8b-%e8%a7%a3%e6%b1%ba%e3%81%95%e3%82%8c%e3%81%9f\/#breadcrumb\"},\"inLanguage\":\"ja\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/ja\/2-%e3%81%a4%e3%81%ae%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%81%ae%e5%a4%96%e7%a9%8d-%e3%82%af%e3%83%ad%e3%82%b9%e5%85%ac%e5%bc%8f%e3%81%ae%e4%be%8b-%e8%a7%a3%e6%b1%ba%e3%81%95%e3%82%8c%e3%81%9f\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/ja\/2-%e3%81%a4%e3%81%ae%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%81%ae%e5%a4%96%e7%a9%8d-%e3%82%af%e3%83%ad%e3%82%b9%e5%85%ac%e5%bc%8f%e3%81%ae%e4%be%8b-%e8%a7%a3%e6%b1%ba%e3%81%95%e3%82%8c%e3%81%9f\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/ja\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d (\u307e\u305f\u306f\u5916\u7a4d)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/ja\/#website\",\"url\":\"https:\/\/mathority.org\/ja\/\",\"name\":\"\",\"description\":\"\u597d\u5947\u5fc3\u3068\u8a08\u7b97\u304c\u51fa\u4f1a\u3046\u5834\u6240 !\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/ja\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"ja\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/ja\/#\/schema\/person\/c5d030d51df9fedd3b375fd3c5be378e\",\"name\":\"B1oN0W1@L5\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ja\",\"@id\":\"https:\/\/mathority.org\/ja\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"caption\":\"B1oN0W1@L5\"},\"sameAs\":[\"http:\/\/mathority.org\/ja\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u3092\u8a08\u7b97\u3059\u308b(\u4f8b)","description":"2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u306e\u8aac\u660e\u3002 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u306b\u95a2\u3059\u308b\u6f14\u7fd2\u304c\u89e3\u6c7a\u3055\u308c\u3066\u3044\u307e\u3059\u3002","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/ja\/2-\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d-\u30af\u30ed\u30b9\u516c\u5f0f\u306e\u4f8b-\u89e3\u6c7a\u3055\u308c\u305f\/","og_locale":"ja_JP","og_type":"article","og_title":"\u25b7 2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u3092\u8a08\u7b97\u3059\u308b(\u4f8b)","og_description":"2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u306e\u8aac\u660e\u3002 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u306b\u95a2\u3059\u308b\u6f14\u7fd2\u304c\u89e3\u6c7a\u3055\u308c\u3066\u3044\u307e\u3059\u3002","og_url":"https:\/\/mathority.org\/ja\/2-\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d-\u30af\u30ed\u30b9\u516c\u5f0f\u306e\u4f8b-\u89e3\u6c7a\u3055\u308c\u305f\/","article_published_time":"2023-09-16T13:03:21+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-625267c9d98347748a771c7cec9bfcec_l3.png"}],"author":"B1oN0W1@L5","twitter_card":"summary_large_image","twitter_misc":{"\u57f7\u7b46\u8005":"B1oN0W1@L5"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/mathority.org\/ja\/2-%e3%81%a4%e3%81%ae%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%81%ae%e5%a4%96%e7%a9%8d-%e3%82%af%e3%83%ad%e3%82%b9%e5%85%ac%e5%bc%8f%e3%81%ae%e4%be%8b-%e8%a7%a3%e6%b1%ba%e3%81%95%e3%82%8c%e3%81%9f\/","url":"https:\/\/mathority.org\/ja\/2-%e3%81%a4%e3%81%ae%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%81%ae%e5%a4%96%e7%a9%8d-%e3%82%af%e3%83%ad%e3%82%b9%e5%85%ac%e5%bc%8f%e3%81%ae%e4%be%8b-%e8%a7%a3%e6%b1%ba%e3%81%95%e3%82%8c%e3%81%9f\/","name":"\u25b7 2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u3092\u8a08\u7b97\u3059\u308b(\u4f8b)","isPartOf":{"@id":"https:\/\/mathority.org\/ja\/#website"},"datePublished":"2023-09-16T13:03:21+00:00","dateModified":"2023-09-16T13:03:21+00:00","author":{"@id":"https:\/\/mathority.org\/ja\/#\/schema\/person\/c5d030d51df9fedd3b375fd3c5be378e"},"description":"2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u306e\u8aac\u660e\u3002 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u306b\u95a2\u3059\u308b\u6f14\u7fd2\u304c\u89e3\u6c7a\u3055\u308c\u3066\u3044\u307e\u3059\u3002","breadcrumb":{"@id":"https:\/\/mathority.org\/ja\/2-%e3%81%a4%e3%81%ae%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%81%ae%e5%a4%96%e7%a9%8d-%e3%82%af%e3%83%ad%e3%82%b9%e5%85%ac%e5%bc%8f%e3%81%ae%e4%be%8b-%e8%a7%a3%e6%b1%ba%e3%81%95%e3%82%8c%e3%81%9f\/#breadcrumb"},"inLanguage":"ja","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/ja\/2-%e3%81%a4%e3%81%ae%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%81%ae%e5%a4%96%e7%a9%8d-%e3%82%af%e3%83%ad%e3%82%b9%e5%85%ac%e5%bc%8f%e3%81%ae%e4%be%8b-%e8%a7%a3%e6%b1%ba%e3%81%95%e3%82%8c%e3%81%9f\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/ja\/2-%e3%81%a4%e3%81%ae%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%81%ae%e5%a4%96%e7%a9%8d-%e3%82%af%e3%83%ad%e3%82%b9%e5%85%ac%e5%bc%8f%e3%81%ae%e4%be%8b-%e8%a7%a3%e6%b1%ba%e3%81%95%e3%82%8c%e3%81%9f\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/ja\/"},{"@type":"ListItem","position":2,"name":"2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d (\u307e\u305f\u306f\u5916\u7a4d)"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/ja\/#website","url":"https:\/\/mathority.org\/ja\/","name":"","description":"\u597d\u5947\u5fc3\u3068\u8a08\u7b97\u304c\u51fa\u4f1a\u3046\u5834\u6240 !","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/ja\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"ja"},{"@type":"Person","@id":"https:\/\/mathority.org\/ja\/#\/schema\/person\/c5d030d51df9fedd3b375fd3c5be378e","name":"B1oN0W1@L5","image":{"@type":"ImageObject","inLanguage":"ja","@id":"https:\/\/mathority.org\/ja\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","caption":"B1oN0W1@L5"},"sameAs":["http:\/\/mathority.org\/ja"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/posts\/72","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/comments?post=72"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/posts\/72\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/media?parent=72"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/categories?post=72"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/tags?post=72"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}