{"id":71659,"date":"2024-01-17T01:28:30","date_gmt":"2024-01-17T01:28:30","guid":{"rendered":"https:\/\/science-hub.click\/%E3%83%A6%E3%83%BC%E3%82%AF%E3%83%AA%E3%83%83%E3%83%89%E5%B9%BE%E4%BD%95%E5%AD%A6%E3%81%AB%E3%81%8A%E3%81%91%E3%82%8B%E3%83%99%E3%82%AF%E3%83%88%E3%83%AB%E5%BE%AE%E7%A9%8D%E5%88%86%E3%81%AB%E3%81%A4\/"},"modified":"2024-01-17T01:28:30","modified_gmt":"2024-01-17T01:28:30","slug":"%E3%83%A6%E3%83%BC%E3%82%AF%E3%83%AA%E3%83%83%E3%83%89%E5%B9%BE%E4%BD%95%E5%AD%A6%E3%81%AB%E3%81%8A%E3%81%91%E3%82%8B%E3%83%99%E3%82%AF%E3%83%88%E3%83%AB%E5%BE%AE%E7%A9%8D%E5%88%86%E3%81%AB%E3%81%A4","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=71659","title":{"rendered":"\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u5e7e\u4f55\u5b66\u306b\u304a\u3051\u308b\u30d9\u30af\u30c8\u30eb\u5fae\u7a4d\u5206\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"<div><div><p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u5e7e\u4f55\u5b66\u306b\u304a\u3051\u308b\u30d9\u30af\u30c8\u30eb\u306e\u6f14\u7b97\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p><h2><span>\u5e73\u9762\u304a\u3088\u3073\u7a7a\u9593\u5185\u306e\u30d9\u30af\u30c8\u30eb\u306e\u6f14\u7b97<\/span><\/h2><p>\u3053\u306e\u8a18\u4e8b\u3067\u8aac\u660e\u3059\u308b\u30d9\u30af\u30c8\u30eb\u306f\u7a7a\u9593\u306e\u30d9\u30af\u30c8\u30eb\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathbb R^3} $$<\/div>\u307e\u305f\u306f\u8a08\u753b<div class=\"math-formual notranslate\">$$ {\\mathbb R^2} $$<\/div> \u3002<\/p><p>\u4e0a\u3067\u5f37\u8abf\u3057\u305f\u3088\u3046\u306b\u3001\u3044\u304f\u3064\u304b\u306e\u5e7e\u4f55\u5b66\u7684\u69cb\u9020\u306f\u30d9\u30af\u30c8\u30eb\u306b\u7279\u6709\u3067\u3059\u3002\u3053\u308c\u3089\u306e\u5e7e\u4f55\u5b66\u7684\u69cb\u9020\u306f\u6570\u5024\u306e\u6f14\u7b97 (\u52a0\u7b97\u3001\u4e57\u7b97) \u3068\u5171\u901a\u306e\u6027\u8cea\u3092\u6301\u3063\u3066\u3044\u308b\u305f\u3081\u3001\u540c\u69d8\u306e\u8868\u8a18\u6cd5\u3092\u63a1\u7528\u3057\u307e\u3059\u3002<\/p><h3><span><span><a href=\"https:\/\/science-hub.click\/?p=66129\">\u30d9\u30af\u30c8\u30eb<\/a><\/span>\u3068<span><a href=\"https:\/\/science-hub.click\/?p=39965\">\u30b9\u30ab\u30e9\u30fc<\/a><\/span>\u306e\u7a4d<\/span><\/h3><p>\u3053\u3053\u3067\u306e\u300c\u30b9\u30ab\u30e9\u30fc\u300d\u3068\u3044\u3046\u7528\u8a9e\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=93137\">\u5b9f\u6570<\/a><\/span>\u3092\u6307\u3057\u307e\u3059\u3002\u30d9\u30af\u30c8\u30eb\u306e\u7a4d<div class=\"math-formual notranslate\">$$ {\\vec{u}} $$<\/div> <i>a<\/i>\u306f\u30b9\u30ab\u30e9\u30fc\u3067\u8868\u3055\u308c\u308b\u30d9\u30af\u30c8\u30eb\u3067\u3059<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {a \\cdot \\vec{u}} $$<\/div><\/dd><\/dl><ul><li> \uff5e\u3068\u540c\u3058\u65b9\u5411\u3068<span><a href=\"https:\/\/science-hub.click\/?p=81037\">\u65b9\u5411<\/a><\/span>\u306e<div class=\"math-formual notranslate\">$$ {\\vec{u}} $$<\/div> \u3001\u3057\u304b\u3057\u305d\u306e\u9577\u3055\u306f<\/li><\/ul><dl><dd><div class=\"math-formual notranslate\">$$ {a \\cdot ||\\vec{u}||} $$<\/div> \u3001a &gt; 0\u306e\u5834\u5408<\/dd><\/dl><ul><li>\u540c\u3058\u65b9\u5411\u3060\u3051\u3069\u9006\u65b9\u5411<div class=\"math-formual notranslate\">$$ {\\vec{u}} $$<\/div> \u3001\u305d\u306e\u9577\u3055\u306f<\/li><\/ul><dl><dd><div class=\"math-formual notranslate\">$$ {-a \\cdot ||\\vec{u}||} $$<\/div> \u3001a &lt; 0 \u306e\u5834\u5408\u3002<\/dd><\/dl><ul><li> a = 0 \u306e\u5834\u5408\u3001\u305d\u308c\u306f\u30bc\u30ed\u30d9\u30af\u30c8\u30eb\u3067\u3059<\/li><\/ul><p>\u3053\u308c\u306f<span>\u62e1\u5927<\/span>( | <i>a<\/i> | &gt;1 \u306e\u5834\u5408) \u307e\u305f\u306f\u7e2e\u5c0f ( | <i>a<\/i> | &lt;1 \u306e\u5834\u5408) \u3067\u3042\u308a\u3001\u8981\u3059\u308b\u306b\u6bd4<i>a<\/i>\u306e\u76f8\u4f3c\u6027\u3067\u3059\u3002 <\/p><p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30d9\u30af\u30c8\u30eb u \u3068\u30b9\u30ab\u30e9\u30fc a \u306e\u7a4d\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/PQXGepWvpuY\/0.jpg\" style=\"width:100%;\"\/><\/figure><br\/><small><i>\u30d9\u30af\u30c8\u30eb\u306e\u7a4d<\/i><\/small>$$ {\\rm \\vec{u}} $$<\/p><\/div>\u30b9\u30ab\u30e9\u30fc\u306b\u3088\u3063\u3066<p>\u6211\u3005\u306f\u6301\u3063\u3066\u3044\u307e\u3059<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {1.\\vec{u} = \\vec{u}} $$<\/div> \u3001 <div class=\"math-formual notranslate\">$$ {0.\\vec{u} = \\vec{0}} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {a.\\vec{0} = \\vec{0}} $$<\/div><\/dd><\/dl><p>\u3057\u305f\u304c\u3063\u3066\u30011 \u306f\u3053\u306e\u6f14\u7b97\u306e\u4e2d\u7acb\u30b9\u30ab\u30e9\u30fc\u8981\u7d20\u30010 \u306f\u5438\u53ce\u30b9\u30ab\u30e9\u30fc\u8981\u7d20\u3067\u3059\u3002\u30d9\u30af\u30c8\u30eb\u3068\u30b9\u30ab\u30e9\u30fc\u306e\u7a4d\u306f\u3001\u30b9\u30ab\u30e9\u30fc\u306e<span><a href=\"https:\/\/science-hub.click\/?p=30030\">\u52a0\u7b97<\/a><\/span>\u3067\u5206\u914d\u3055\u308c\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {(a+b) \\cdot \\vec{u} = a \\cdot \\vec{u} + b \\cdot \\vec{u}} $$<\/div><\/dd><\/dl><p>\u3057\u304b\u3057\u3001\u305d\u308c\u306f\u53ef\u63db\u3067\u306f\u3042\u308a\u307e\u305b\u3093: \u8868\u8a18\u6cd5<div class=\"math-formual notranslate\">$$ {\\vec{u} \\cdot a} $$<\/div>\u610f\u5473\u304c\u3042\u308a\u307e\u305b\u3093\u3002<\/p><p> 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u540c\u4e00\u7dda\u4e0a (\u5e73\u884c) \u306b\u306a\u308b\u306e\u306f\u3001\u305d\u308c\u3089\u304c\u6bd4\u4f8b\u3059\u308b\u5834\u5408\u3001\u3064\u307e\u308a\u6b21\u306e\u3088\u3046\u306a<span><a href=\"https:\/\/science-hub.click\/?p=71097\">\u6570<\/a><\/span><i>a<\/i>\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u306b\u9650\u3089\u308c\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002 <div class=\"math-formual notranslate\">$$ {\\vec{u} = a \\cdot \\vec{v}} $$<\/div> \u3002<\/p><h3> <span>2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5408\u8a08<\/span><\/h3><p>2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5408\u8a08<div class=\"math-formual notranslate\">$$ {\\vec{u}} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\vec{v}} $$<\/div>\u306f\u30d9\u30af\u30c8\u30eb\u3067\u3042\u308a\u3001 <div class=\"math-formual notranslate\">$$ {\\vec{u}+\\vec{v}} $$<\/div> \u3001\u6b21\u306e\u3088\u3046\u306b\u69cb\u7bc9\u3055\u308c\u307e\u3059\u3002<\/p><dl><dd> 2 \u756a\u76ee\u306e\u30d9\u30af\u30c8\u30eb\u306e\u539f\u70b9\u3092\u6700\u521d\u306e\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u306b\u79fb\u52d5\u3057\u307e\u3059\u3002\u548c\u306f\u3001\u6700\u521d\u306e\u30d9\u30af\u30c8\u30eb\u306e\u539f\u70b9\u3068 2 \u756a\u76ee\u306e\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u3092\u7d50\u5408\u3057\u305f\u30d9\u30af\u30c8\u30eb\u306b\u306a\u308a\u307e\u3059\u3002<\/dd><\/dl><p>\u3053\u308c\u306f\u3001\u6700\u521d\u306e 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b<span><a href=\"https:\/\/science-hub.click\/?p=83821\">\u4e09\u89d2\u5f62<\/a><\/span>\u306e 3 \u756a\u76ee\u306e\u8fba\u3067\u3059\u3002<\/p><p>\u5225\u306e\u65b9\u6cd5\u3067\u69cb\u7bc9\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/p><dl><dd> 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u539f\u70b9\u3092\u540c\u3058<span><a href=\"https:\/\/science-hub.click\/?p=43578\">\u70b9<\/a><\/span>\u306b\u7f6e\u304d\u3001\u30d9\u30af\u30c8\u30eb\u304c 2 \u3064\u306e\u8fba\u3067\u3042\u308b<span>\u5e73\u884c\u56db\u8fba\u5f62<\/span><span><a href=\"https:\/\/science-hub.click\/?p=59617\">\u3092\u63cf\u304d\u307e\u3059<\/a><\/span>\u3002\u305d\u306e\u5408\u8a08\u306f\u3001\u539f\u70b9\u304b\u3089\u59cb\u307e\u308b\u5e73\u884c\u56db\u8fba\u5f62\u306e<span><a href=\"https:\/\/science-hub.click\/?p=100875\">\u5bfe\u89d2\u306b<\/a><\/span>\u306a\u308a\u307e\u3059\u3002<\/dd><\/dl><p>\u3069\u3061\u3089\u306e\u5834\u5408\u3082\u3001\u30d9\u30af\u30c8\u30eb\u3092\u30a8\u30f3\u30c9\u30c4\u30fc\u30a8\u30f3\u30c9\u3067\u914d\u7f6e\u3057\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u4e00\u65b9\u306e\u30d9\u30af\u30c8\u30eb\u306e\u539f\u70b9\u304c\u4ed6\u65b9\u306e\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u7aef\u306b\u5bfe\u5fdc\u3059\u308b\u5834\u5408\u306f\u4e09\u89d2\u5f62\u6cd5\u3092\u4f7f\u7528\u3057\u3001\u539f\u70b9\u304c\u7d50\u5408\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u306f\u5e73\u884c\u56db\u8fba\u5f62\u6cd5\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002 <\/p><p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5408\u8a08\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/7sgKUpE2OS4\/0.jpg\" style=\"width:100%;\"\/><\/figure><br\/> <small><i>2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5408\u8a08<\/i><\/small><\/p><p>3 \u3064\u306e\u70b9<i>A<\/i> \u3001 <i>B<\/i> \u3001 <i>C \u304c<\/i>\u3042\u308b\u5834\u5408\u3001\u300c <strong>Chasles \u95a2\u4fc2<\/strong>\u300d\u304c\u6210\u7acb\u3057\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\overrightarrow{AB} + \\overrightarrow{BC} = \\overrightarrow{AC}} $$<\/div><\/dd><\/dl><p>\u3053\u306e\u3053\u3068\u304b\u3089\u79c1\u305f\u3061\u306f\u6b21\u306e\u3088\u3046\u306b\u63a8\u6e2c\u3057\u307e\u3059<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\overrightarrow{AB} + \\overrightarrow{BA} = \\overrightarrow{AA} = \\vec{0}} $$<\/div><\/dd><\/dl><p>\u3053\u308c\u306b\u3088\u308a\u3001\u30d9\u30af\u30c8\u30eb\u306e<span>\u53cd\u5bfe<\/span>\u3001\u3064\u307e\u308a\u6e1b\u7b97\u3092\u5b9a\u7fa9\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {-\\overrightarrow{AB} = -1 \\cdot \\overrightarrow{AB}} $$<\/div><\/dd><\/dl><p>\u6211\u3005\u306f\u6301\u3063\u3066\u3044\u307e\u3059<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\overrightarrow{AB} = &#8211; \\overrightarrow{BA}} $$<\/div><\/dd><\/dl><p>\u30d9\u30af\u30c8\u30eb\u306e\u53cd\u5bfe\u3068\u306f\u3001\u540c\u3058\u65b9\u5411\u3001\u540c\u3058\u9577\u3055\u3067\u9006\u65b9\u5411\u306e\u30d9\u30af\u30c8\u30eb\u3067\u3059\u3002<\/p><p>\u6211\u3005\u306f\u6301\u3063\u3066\u3044\u307e\u3059\uff1a <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\vec{u} + \\vec{0} = \\vec{u}} $$<\/div><\/dd><\/dl><p><div class=\"math-formual notranslate\">$$ {\\vec{0}} $$<\/div>\u30d9\u30af\u30c8\u30eb\u52a0\u7b97\u306e\u4e2d\u7acb\u8981\u7d20\u3067\u3059\u3002\u30d9\u30af\u30c8\u30eb\u306e\u52a0\u7b97\u306f\u53ef\u63db\u3067\u3059<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\vec{u} + \\vec{v} = \\vec{v} + \\vec{u}} $$<\/div><\/dd><\/dl><p>\u30b9\u30ab\u30e9\u30fc\u3068\u30d9\u30af\u30c8\u30eb\u306e\u7a4d\u306f\u3001\u30d9\u30af\u30c8\u30eb\u306e\u52a0\u7b97\u3067\u5206\u914d\u3055\u308c\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {a \\cdot (\\vec{u} + \\vec{v}) = a \\cdot \\vec{u} + a \\cdot \\vec{v}} $$<\/div> \u3002<\/dd><\/dl><h3> <span>2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e<span><a href=\"https:\/\/science-hub.click\/?p=69519\">\u5185\u7a4d<\/a><\/span><\/span><\/h3><h4><span><span><a href=\"https:\/\/science-hub.click\/?p=74671\">\u610f\u5473<\/a><\/span><\/span><\/h4><p>\u3082\u3057<div class=\"math-formual notranslate\">$$ {\\vec{u}} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\vec{v}} $$<\/div>\u306f\u5e7e\u4f55\u5b66\u7684\u306a\u89d2\u5ea6 \u03b1 \u3092\u4f5c\u308b 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u3067\u3042\u308a\u3001<strong>\u30b9\u30ab\u30e9\u30fc<\/strong>\u7a4d\u3068\u547c\u3073\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\vec{u} \\cdot \\vec{v}} $$<\/div> \u3001\u6b21\u306e\u5024\u306b\u76f8\u5f53\u3059\u308b (\u5b9f\u6570) \u6570\u5024: <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\vec{u} \\cdot \\vec{v} = ||\\vec{u}|| \\cdot ||\\vec{v}|| \\cdot \\cos(\\alpha)} $$<\/div> \u3002<\/dd><\/dl><p>\u3044\u305a\u308c\u304b\u306e\u30d9\u30af\u30c8\u30eb\u304c\u30bc\u30ed\u3067\u3042\u308b\u304b\u3001\u30d9\u30af\u30c8\u30eb\u9593\u306e\u89d2\u5ea6\u304c\u6b63\u3057\u3044\u5834\u5408 (\u3064\u307e\u308a\u3001\u03b1 = \u03c0\/2 rad = 90\u00b0\u306e\u5834\u5408)\u3001\u5185\u7a4d\u306f\u30bc\u30ed\u306b\u306a\u308a\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\vec{u}} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\vec{v}} $$<\/div>\u3053\u306e\u5834\u5408\u3001 \u306f<strong>\u76f4\u4ea4\u3057<\/strong>\u3001\u89d2\u5ea6\u304c\u92ed\u89d2\u306e\u5834\u5408\u306f\u53b3\u5bc6\u306b\u6b63\u3001\u89d2\u5ea6\u304c\u920d\u89d2\u306e\u5834\u5408\u306f\u53b3\u5bc6\u306b\u8ca0\u3067\u3059\u3002<br\/><br\/><\/p><p>\u3053\u306e\u64cd\u4f5c\u306f\u3001\u76f4\u4ea4\u6295\u5f71\u306e\u8a08\u7b97\u3092\u7c21\u7d20\u5316\u3059\u308b\u305f\u3081\u306b\u5c0e\u5165\u3055\u308c\u307e\u3057\u305f\u3002\u5b9f\u969b\u3001 <i>v <sub>u \u304c<\/sub><\/i>\u6b21\u306e<span><a href=\"https:\/\/science-hub.click\/?p=22236\">\u5c04\u5f71\u306e\u4ee3\u6570<\/a><\/span>\u7684\u9577\u3055\u3067\u3042\u308b\u5834\u5408\u3001 <div class=\"math-formual notranslate\">$$ {\\vec{v}} $$<\/div>\u306b\u5f93\u3063\u3066\u65b9\u5411\u4ed8\u3051\u3089\u308c\u305f\u76f4\u7dda\u4e0a<div class=\"math-formual notranslate\">$$ {\\vec{u}} $$<\/div> ( <i>v <sub>u \u306f<\/sub><\/i>\u3001\u5c04\u5f71\u304c\u6b21\u306e\u65b9\u5411\u3068\u540c\u3058\u65b9\u5411\u306b\u3042\u308b\u5834\u5408\u3001\u6b63\u306b\u306a\u308a\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\vec{u}} $$<\/div> \u3001\u9006\u65b9\u5411\u306e\u5834\u5408\u306f\u8ca0\uff09\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\vec{u} \\cdot \\vec{v} = v_u \\cdot ||\\vec{u}||} $$<\/div><\/dd><\/dl><p>\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e<span><a href=\"https:\/\/science-hub.click\/?p=1846\">\u57fa\u6e96\u304c<\/a><\/span>\u3042\u308b\u5834\u5408\u3001 <div class=\"math-formual notranslate\">$$ {\\vec{u}} $$<\/div>\u304c 1 \u306e\u5834\u5408\u3001\u6b21\u306e\u6b63\u5c04\u5f71\u306e\u4ee3\u6570\u7684\u9577\u3055\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\vec{v}} $$<\/div>\u53f3\u5074\u306f<div class=\"math-formual notranslate\">$$ {\\vec{u} \\cdot \\vec{v}} $$<\/div> \u3002\u540c\u69d8\u306b\u3001 <i>u <sub>v \u304c<\/sub><\/i>\u6b21\u306e\u6295\u5f71\u306e\u4ee3\u6570\u7684\u9577\u3055\u3067\u3042\u308b\u5834\u5408\u3001 <div class=\"math-formual notranslate\">$$ {\\vec{u}} $$<\/div>\u306b\u5f93\u3063\u3066\u65b9\u5411\u4ed8\u3051\u3089\u308c\u305f\u76f4\u7dda\u4e0a<div class=\"math-formual notranslate\">$$ {\\vec{v}} $$<\/div>\u305d\u3046\u3059\u308b\u3068\u3001 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\vec{u} \\cdot \\vec{v} = u_v \\cdot ||\\vec{v}||} $$<\/div><\/dd><\/dl><h4><span>\u30d7\u30ed\u30d1\u30c6\u30a3<\/span><\/h4><ul><li>\u5185\u7a4d\u306f\u53ef\u63db\u3067\u3059<\/li><\/ul><dl><dd><div class=\"math-formual notranslate\">$$ {\\vec{u} \\cdot \\vec{v} = \\vec{v} \\cdot \\vec{u}} $$<\/div><\/dd><\/dl><ul><li>\u30d9\u30af\u30c8\u30eb\u306e\u52a0\u7b97\u3067\u5206\u914d\u7684\u3067\u3059<\/li><\/ul><dl><dd><div class=\"math-formual notranslate\">$$ {\\vec{u} \\cdot (\\vec{v} + \\vec{w})= \\vec{u} \\cdot \\vec{v} + \\vec{u} \\cdot \\vec{w}} $$<\/div><\/dd><\/dl><ul><li>\u30bc\u30ed\u30d9\u30af\u30c8\u30eb\u306f\u30b9\u30ab\u30e9\u30fc\u7a4d\u306e\u5438\u53ce\u8981\u7d20\u3067\u3059<\/li><\/ul><dl><dd><div class=\"math-formual notranslate\">$$ {\\vec{u} \\cdot \\vec{0} = \\vec{0} \\cdot \\vec{u} = 0} $$<\/div><\/dd><\/dl><ul><li><div class=\"math-formual notranslate\">$$ {\\vec{u} \\cdot \\vec{u}} $$<\/div><i>\u30d9\u30af\u30c8\u30eb\u306e<strong>\u30b9\u30ab\u30e9\u30fc<span><a href=\"https:\/\/science-hub.click\/?p=94249\">\u4e8c\u4e57<\/a><\/span><\/strong><\/i>\u3068\u547c\u3070\u308c\u307e\u3059$$ {\\vec{u}} $$<\/li><\/ul><\/div>\n\u305d\u3057\u3066\u30e1\u30e2\n<div class=\"math-formual notranslate\">$$ {\\vec{u}} $$<\/div>\n<sup>\n 2\n<\/sup>\n<strong>;<\/strong>\n\u3057\u305f\u304c\u3063\u3066\n<strong>\uff1a<\/strong>\n<div class=\"math-formual notranslate\">$$ {\\vec {u}} $$<\/div>\n<sup>\n 2\n<\/sup>\n=\n<div class=\"math-formual notranslate\">$$ {\\vec{u} \\cdot \\vec{u}} $$<\/div>\n<br\/>\n<br\/>\n<li>\u30d9\u30af\u30c8\u30eb\u306e\u30b9\u30ab\u30e9\u30fc\u4e8c\u4e57\u306f\u3001\u305d\u306e\u30ce\u30eb\u30e0\u306e\u4e8c\u4e57\u306b\u7b49\u3057\u3044<\/li>\n<dl>\n <dd>\n  <div class=\"math-formual notranslate\">$$ {\\vec{u}} $$<\/div>\n  <sup>\n   2\n  <\/sup>\n  =\n  <div class=\"math-formual notranslate\">$$ {\\| \\vec{u} \\|} $$<\/div>\n  <sup>\n   2\n  <\/sup>\n  \u3057\u305f\u304c\u3063\u3066\n  <div class=\"math-formual notranslate\">$$ {\\sqrt{{\\vec{u}}^2}} $$<\/div>\n  =\n  <div class=\"math-formual notranslate\">$$ {\\| \\vec{u} \\|} $$<\/div>\n <\/dd>\n<\/dl>\n<ul><li> 2 \u3064\u306e\u975e\u30bc\u30ed \u30d9\u30af\u30c8\u30eb\u306f\u3001\u305d\u306e\u30b9\u30ab\u30e9\u30fc\u7a4d\u304c\u30bc\u30ed\u3067\u3042\u308b\u5834\u5408\u306b\u306e\u307f\u76f4\u4ea4\u3057\u307e\u3059\u3002 <\/li><\/ul>\n<dl>\n <dd>\n  <div class=\"math-formual notranslate\">$$ {\\vec{u} \\perp \\vec{v}} $$<\/div>\n  \u3082\u3057\u3001\u305d\u3057\u3066\u305d\u306e\u5834\u5408\u306b\u9650\u308a\n  <div class=\"math-formual notranslate\">$$ {\\vec{u} \\cdot \\vec{v} = 0} $$<\/div>\n <\/dd>\n<\/dl>\n<ul><li><span><a href=\"https:\/\/science-hub.click\/?p=102455\">\u6b63\u898f\u76f4\u4ea4\u57fa\u5e95<\/a><\/span>\u3068\u547c\u3070\u308c\u308b\u5e73\u9762\u5185<div class=\"math-formual notranslate\">$$ {\\left ( \\vec i, \\vec j \\right )} $$<\/div><\/li><\/ul>\n<dl>\n <dd>\n <\/dd>\n<\/dl>\n<div><div align=\"left\" title=\"[\u62e1\u5927\u3059\u308b]\"><div align=\"center\"><span><a href=\"https:\/\/science-hub.click\/?p=52981\">\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3<\/a><\/span><\/div><div align=\"left\"><p>\u3055\u305b\u3066<div class=\"math-formual notranslate\">$$ {\\vec{u} ( u_x\u00a0; u_y )} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\vec{v} ( v_x\u00a0; v_y )} $$<\/div>\u6b63\u898f\u76f4\u4ea4\u57fa\u5e95\u306e 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb<div class=\"math-formual notranslate\">$$ {\\left ( \\vec i, \\vec j \\right )} $$<\/div>\u305d\u308c\u305e\u308c\u306e\u6975\u5ea7\u6a19\u306e<div class=\"math-formual notranslate\">$$ {\\left ( r\u00a0; \\theta \\right )} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\left ( r&#8217;\u00a0; \\theta&#8217; \\right )} $$<\/div> \u3002\u6211\u3005\u306f\u6301\u3063\u3066\u3044\u307e\u3059\uff1a<\/p><\/div><\/div><\/div>\n<ul><li>\u7a7a\u9593\u3067\u306f\u6b63\u898f\u76f4\u4ea4\u57fa\u5e95\u3068\u547c\u3070\u308c\u308b<div class=\"math-formual notranslate\">$$ {\\left ( \\vec i, \\vec j, \\vec k \\right )} $$<\/div><\/li><\/ul>\n<dl>\n <dd>\n  <div class=\"math-formual notranslate\">$$ {\\vec u \\cdot \\vec v=u_x\\cdot v_x+u_y\\cdot v_y+u_z\\cdot v_z} $$<\/div>\n <\/dd>\n<\/dl>\n<p> (<span><a href=\"https:\/\/science-hub.click\/?p=66499\">\u6570\u5b66<\/a><\/span>\u306e\u3059\u3079\u3066\u306e\u5206\u91ce\u3067\u6709\u52b9\u306a\u4e00\u822c\u7684\u306a\u5b9a\u7fa9\u306b\u3064\u3044\u3066\u306f)<strong>\u3082\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044<\/strong>\u3002<\/p>\n<ul><li>\u5185\u7a4d<\/li><\/ul>\n<h2><span>\u7a7a\u9593\u5185\u306e 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e<span><a href=\"https:\/\/science-hub.click\/?p=58959\">\u5916\u7a4d<\/a><\/span><\/span><\/h2>\n<div><div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30d9\u30af\u30c8\u30eb\u7a4d\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/353TlIwdwB4\/0.jpg\" style=\"width:100%;\"\/><\/figure><div>\u30d9\u30af\u30c8\u30eb\u7a4d<\/div><\/div><\/div>\n<p><span><a href=\"https:\/\/science-hub.click\/?p=95765\">\u307e\u305a\u3001<\/a><\/span> 2 \u3064\u306e\u975e\u5171\u7dda\u30d9\u30af\u30c8\u30eb\u304c\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002 <div class=\"math-formual notranslate\">$$ {\\vec{u}} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\vec{v}} $$<\/div>\u30d9\u30af\u30c8\u30eb\u5e73\u9762\u3092\u5b9a\u7fa9\u3057\u307e\u3059\u3002 3\u756a\u76ee\u306e\u30d9\u30af\u30c8\u30eb<div class=\"math-formual notranslate\">$$ {\\vec{w}} $$<\/div>\u6700\u521d\u306e 2 \u3064\u306e\u7dda\u5f62\u7d50\u5408\u3068\u3057\u3066\u8a18\u8ff0\u3067\u304d\u308b\u5834\u5408\u3001\u3064\u307e\u308a\u3001\u6b21\u306e\u3088\u3046\u306a 2 \u3064\u306e\u5b9f\u6570<i>a<\/i>\u3068<i>b \u304c<\/i>\u5b58\u5728\u3059\u308b\u5834\u5408\u306b\u9650\u308a\u3001\u524d\u306e 2 \u3064\u306e\u3082\u306e\u3068\u540c\u4e00\u5e73\u9762\u4e0a\u306b\u3042\u308a\u307e\u3059\u3002 <\/p>\n<dl>\n <dd>\n  <div class=\"math-formual notranslate\">$$ {\\vec{w} = a \\cdot \\vec{u} + b \\cdot \\vec{v}} $$<\/div>\n <\/dd>\n<\/dl>\n<p> 3 \u3064\u306e\u975e\u5171\u9762\u30d9\u30af\u30c8\u30eb\u304c\u30d9\u30fc\u30b9\u3092\u5f62\u6210\u3057\u307e\u3059\u3002\u57fa\u790e<div class=\"math-formual notranslate\">$$ {(\\vec{u},\\vec{v}, \\vec{w})} $$<\/div>\u53f3\u624b\u3067\u30a4\u30e1\u30fc\u30b8\u3067\u304d\u308b\u5834\u5408\u306f\u30c0\u30a4\u30ec\u30af\u30c8\u3068\u547c\u3070\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\vec{u}} $$<\/div>\u89aa\u6307\u3067\u3042\u308b\u3053\u3068\u3001 <div class=\"math-formual notranslate\">$$ {\\vec{v}} $$<\/div>\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3067\u3042\u308b\u3053\u3068\u3068\u3001 <div class=\"math-formual notranslate\">$$ {\\vec{w}} $$<\/div>\u4e2d\u6307\u3067\u3042\u308b\u3053\u3068\u3002<\/p>\n<p> 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u30d9\u30af\u30c8\u30eb\u7a4d\u3092\u5b9a\u7fa9\u3057\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\vec{u}} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\vec{v}} $$<\/div> \u3001 \u6ce8\u8a18<div class=\"math-formual notranslate\">$$ {\\vec{u} \\wedge \\vec{v}} $$<\/div> \u3001\u30d9\u30af\u30c8\u30eb\u3068\u3057\u3066\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul><li>\u57fa\u672c\u30d9\u30af\u30c8\u30eb\u5e73\u9762\u306b\u5782\u76f4<div class=\"math-formual notranslate\">$$ {(\\vec{u},\\vec{v})} $$<\/div><\/li><li>\u8ab0\u306e\u57fa\u6e96\u306f<div class=\"math-formual notranslate\">$$ {\\|\\vec{u}\\| \\cdot \\|\\vec{v}\\| \\cdot \\sin(\\widehat{\\vec{u},\\vec{v}})} $$<\/div><\/li><li>\u306e\u3088\u3046\u306a<div class=\"math-formual notranslate\">$$ {(\\vec{u},\\vec{v}, ( \\vec{u} \\wedge \\vec{v} ))} $$<\/div>\u76f4\u63a5\u306e\u57fa\u790e\u3092\u5f62\u6210\u3057\u307e\u3059\u3002<\/li><\/ul>\n<p>\u524d\u306e\u5b9a\u7fa9\u3092\u6b21\u306e\u5834\u5408\u306b\u62e1\u5f35\u3057\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\vec{u}} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\vec{v}} $$<\/div>\u4ee5\u4e0b\u3092\u8a2d\u5b9a\u3059\u308b\u3053\u3068\u3067\u5171\u7dda\u7684\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<dl>\n <dd>\n  <div class=\"math-formual notranslate\">$$ {\\vec{u} \\wedge \\vec{v} = \\vec{0}} $$<\/div>\n <\/dd>\n<\/dl>\n<ul><li><i>\u8a73\u7d30\u306a\u8a18\u4e8b\u300cVector \u88fd\u54c1\u300d\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/i><\/li><\/ul>\n<p><strong>\u6c17\u3065\u3044\u305f \uff1a<\/strong><\/p>\n<p>\u30d9\u30af\u30c8\u30eb\u7a4d\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u7a2e\u985e\u306e\u6570\u5b66\u7684\u30aa\u30d6\u30b8\u30a7\u30af\u30c8 (\u30d9\u30af\u30c8\u30eb\u307e\u305f\u306f\u64ec\u4f3c\u30d9\u30af\u30c8\u30eb) \u306b\u4f5c\u7528\u3057\u307e\u3059\u3002\u3053\u306e\u533a\u5225\u306f\u3001\u6b63\u898f\u76f4\u4ea4\u57fa\u5e95\u3067\u306f (\u5bfe\u79f0\u6027\u3092\u9664\u3044\u3066) \u3042\u307e\u308a\u91cd\u8981\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u975e\u6b63\u898f\u76f4\u4ea4\u57fa\u5e95\u3067\u306f\u533a\u5225\u3057\u306a\u3044\u3068\u3001\u4e0d\u6761\u7406\u304c\u751f\u3058\u307e\u3059\u3002<span><a href=\"https:\/\/science-hub.click\/?p=54039\">\u7269\u7406\u5b66<\/a><\/span>\u3067\u306f\u3001\u7279\u306b\u78c1\u5834\u3068\u30e2\u30fc\u30e1\u30f3\u30c8\u306b\u95a2\u3057\u3066\u3053\u306e\u554f\u984c\u304c\u767a\u751f\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306f\u30d9\u30af\u30c8\u30eb\u306b\u3088\u304f\u4f3c\u3066\u3044\u307e\u3059\u304c\u3001\u5b9f\u969b\u306b\u306f\u64ec\u4f3c\u30d9\u30af\u30c8\u30eb\u3067\u3042\u308a\u3001\u540c\u3058\u8a08\u7b97\u898f\u5247\u306b\u5f93\u3044\u307e\u305b\u3093\u3002<br\/><\/p>\n<ul><li> <i>Pseudovector \u306e\u8a18\u4e8b\u3082\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/i><\/li><\/ul>\n<h2><span>\u6df7\u5408\u54c1<\/span><\/h2>\n<h3><span>\u5b9a\u7fa9\u3068\u7279\u6027<\/span><\/h3>\n<p>3 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u4e0e\u3048\u3089\u308c\u308b\u3068<div class=\"math-formual notranslate\">$$ {\\vec u\\,} $$<\/div> \u3001 <div class=\"math-formual notranslate\">$$ {\\vec v\\,} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\vec w\\,} $$<\/div> \u3001\u3053\u308c\u3089 3 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u6df7\u5408\u7a4d\u3092\u91cf\u3068\u547c\u3073\u307e\u3059\u3002 <br\/><div class=\"math-formual notranslate\">$$ {\\left[\\vec u, \\vec v, \\vec w\\right] = (\\vec u \\wedge \\vec v) \\cdot \\vec w\\,} $$<\/div> \u3002<\/p>\n<p>\u6b21\u306e\u3053\u3068\u3092\u8a3c\u660e\u3067\u304d\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\left[\\vec u, \\vec v, \\vec w\\right] =  \\left[\\vec v, \\vec w, \\vec u\\right] =  \\left[\\vec w, \\vec u, \\vec v\\right]\\,} $$<\/div>\u305d\u3057\u3066 \uff1a <br\/><\/p>\n<center>\n <div class=\"math-formual notranslate\">$$ {\\left[\\vec v, \\vec u, \\vec w\\right] =  \\left[\\vec w, \\vec v, \\vec u\\right] =  \\left[\\vec u, \\vec w, \\vec v\\right] =  &#8211; \\left[\\vec u, \\vec v, \\vec w\\right]\\,} $$<\/div>\n<\/center>\n<p>\u305d\u3057\u3066\u307e\u305f: <\/p>\n<center>\n <div class=\"math-formual notranslate\">$$ {\\left[\\vec u, \\vec v, \\vec w\\right] = \\begin{vmatrix} u_x &amp; u_y &amp; u_z\\\\v_x &amp; v_y &amp; v_z\\\\w_x &amp; w_y &amp; w_z \\end{vmatrix}} $$<\/div>\n<\/center>\n<p>\u8a00\u3044\u63db\u3048\u308b\u3068\uff1a <div class=\"math-formual notranslate\">$$ {\\left[\\vec u, \\vec v, \\vec w\\right] = (u_x v_y w_z + v_x w_y u_z + w_x u_y v_z) &#8211; (u_z v_y w_x + v_x w_z u_y + w_y u_x v_z)\\,} $$<\/div><\/p>\n<p><strong>\u5099\u8003\uff1a<\/strong><\/p>\n<ul><li> 3 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u3046\u3061 2 \u3064\u304c\u7b49\u3057\u3044\u304b\u540c\u4e00\u7dda\u4e0a\u306b\u3042\u308b\u5834\u5408\u3001\u6df7\u5408\u7a4d\u306f\u30bc\u30ed\u306b\u306a\u308a\u307e\u3059\u3002<\/li><li> 3 \u3064\u306e\u771f\u306e\u30d9\u30af\u30c8\u30eb (\u64ec\u4f3c\u30d9\u30af\u30c8\u30eb\u3067\u306f\u306a\u304f) \u306e\u6df7\u5408\u7a4d\u306f\u3001\u64ec\u4f3c\u30b9\u30ab\u30e9\u30fc<span><a href=\"https:\/\/science-hub.click\/?p=3678\">\u91cf<\/a><\/span>\u3067\u3059\u3002<\/li><\/ul>\n<h3><span>\u6df7\u5408\u88fd\u54c1\u306e\u5fdc\u7528<\/span><\/h3>\n<ul><li>\u30d9\u30af\u30c8\u30eb\u306e\u5834\u5408<div class=\"math-formual notranslate\">$$ {\\vec u\\,} $$<\/div> \u3001 <div class=\"math-formual notranslate\">$$ {\\vec v\\,} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\vec w\\,} $$<\/div>\u539f\u70b9\u304c\u540c\u3058\u3001\u6df7\u5408\u7a4d\u306e\u7d76\u5bfe\u5024<div class=\"math-formual notranslate\">$$ {\\left[\\vec u, \\vec v, \\vec w\\right]\\,} $$<\/div>\u4e0a\u306b\u69cb\u7bc9\u3055\u308c\u305f\u76f4\u65b9\u4f53\u306e\u4f53\u7a4d\u306b\u7b49\u3057\u3044<div class=\"math-formual notranslate\">$$ {\\vec u\\,} $$<\/div> \u3001 <div class=\"math-formual notranslate\">$$ {\\vec v\\,} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\vec w\\,} $$<\/div> \u3001\u307e\u305f\u306f\u3053\u308c\u3089\u306e\u540c\u3058\u30d9\u30af\u30c8\u30eb\u4e0a\u306b\u69cb\u7bc9\u3055\u308c\u305f\u56db\u9762\u4f53\u306e\u4f53\u7a4d\u306e 6 \u500d\u3067\u3059\u3089\u3042\u308a\u307e\u3059\u3002<\/li><\/ul>\n<h2><span>\u4e8c\u91cd\u30d9\u30af\u30c8\u30eb\u7a4d<\/span><\/h2>\n<p>3 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059<div class=\"math-formual notranslate\">$$ {\\vec u\\,} $$<\/div> \u3001 <div class=\"math-formual notranslate\">$$ {\\vec v\\,} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\vec w\\,} $$<\/div> 2 \u3064\u306e\u9023\u7d9a\u3059\u308b\u30d9\u30af\u30c8\u30eb\u7a4d\u306b\u3088\u3063\u3066\u3002<br\/>\u3053\u308c\u3092\u53cc\u5341\u5b57\u7a4d\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n<p>\u4f8b \uff1a <div class=\"math-formual notranslate\">$$ {\\vec u \\wedge \\left(\\vec v \\wedge \\vec w\\right)} $$<\/div><br\/><\/p>\n<p>\u8b66\u544a: \u30d9\u30af\u30c8\u30eb\u7a4d\u306f\u7d50\u5408\u6027\u3067\u3082\u53ef\u63db\u6027\u3067\u3082\u306a\u3044\u305f\u3081\u3001\u3053\u3053\u3067\u306e\u3088\u3046\u306b\u62ec\u5f27\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u7d50\u679c\u306f\u3001\u6f14\u7b97\u304c\u5b9f\u884c\u3055\u308c\u308b\u9806\u5e8f\u3068 3 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u63d0\u793a\u9806\u5e8f\u306e\u4e21\u65b9\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002<\/p>\n<p>\u6b21\u306e 2 \u3064\u306e\u516c\u5f0f\u3092 (\u56f0\u96e3\u306a\u304f\u3001\u3057\u304b\u3057\u975e\u5e38\u306b\u624b\u9593\u304c\u304b\u304b\u308a\u307e\u3059\u304c) \u8a3c\u660e\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <br\/><\/p>\n<center>\n <p><div class=\"math-formual notranslate\">$$ {\\vec u \\wedge \\left(\\vec v\\wedge \\vec w\\right) = (\\vec u\\cdot\\vec w)\\ \\vec v\\ -\\ (\\vec u\\cdot\\vec v)\\ \\vec w} $$<\/div><br\/>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\left(\\vec u \\wedge \\vec v\\right)\\wedge \\vec w = (\\vec u\\cdot\\vec w)\\ \\vec v\\ -\\ (\\vec v\\cdot\\vec w)\\ \\vec u} $$<\/div><\/p>\n<\/center>\n<h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2>\n<ol><li><a class=\"notranslate\" href=\"https:\/\/bn.wikipedia.org\/wiki\/%E0%A6%95%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%B2%E0%A6%95%E0%A7%81%E0%A6%B2%E0%A6%BE%E0%A6%B8_(%E0%A6%A6%E0%A7%8D%E0%A6%AC%E0%A7%8D%E0%A6%AF%E0%A6%B0%E0%A7%8D%E0%A6%A5%E0%A6%A4%E0%A6%BE_%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A6%B8%E0%A6%A8)\">\u0995\u09cd\u09af\u09be\u09b2\u0995\u09c1\u09b2\u09be\u09b8 (\u09a6\u09cd\u09ac\u09cd\u09af\u09b0\u09cd\u09a5\u09a4\u09be \u09a8\u09bf\u09b0\u09b8\u09a8) \u2013 bengali<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ca.wikipedia.org\/wiki\/C%C3%A0lcul_(desambiguaci%C3%B3)\">C\u00e0lcul (desambiguaci\u00f3) \u2013 catalan<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Calculus_(disambiguation)\">Calculus (disambiguation) \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/eo.wikipedia.org\/wiki\/Kalkulo\">Kalkulo \u2013 esp\u00e9ranto<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/es.wikipedia.org\/wiki\/C%C3%A1lculo_(desambiguaci%C3%B3n)\">C\u00e1lculo (desambiguaci\u00f3n) \u2013 espagnol<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/eu.wikipedia.org\/wiki\/Kalkulu_(argipena)\">Kalkulu (argipena) \u2013 basque<\/a><\/li><\/ol>\n<div class=\"feature-video\">\n <h2>\n  \u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u5e7e\u4f55\u5b66\u306b\u304a\u3051\u308b\u30d9\u30af\u30c8\u30eb\u5fae\u7a4d\u5206\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"\u975e\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u5e7e\u4f55\u5b66\u304c\u9762\u767d\u3059\u304e\u305f\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/shC36CiXEKM?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u5e7e\u4f55\u5b66\u306b\u304a\u3051\u308b\u30d9\u30af\u30c8\u30eb\u306e\u6f14\u7b97\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002 \u5e73\u9762\u304a\u3088\u3073\u7a7a\u9593\u5185\u306e\u30d9\u30af\u30c8\u30eb\u306e\u6f14\u7b97 \u3053\u306e\u8a18\u4e8b\u3067\u8aac\u660e\u3059\u308b\u30d9\u30af\u30c8\u30eb\u306f\u7a7a\u9593\u306e\u30d9\u30af\u30c8\u30eb\u3067\u3059\u3002 $$ {\\mathbb R^3} $$ \u307e\u305f\u306f\u8a08\u753b $$ { [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":71660,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/LI6eDi8v6Kc\/0.jpg","fifu_image_alt":"\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u5e7e\u4f55\u5b66\u306b\u304a\u3051\u308b\u30d9\u30af\u30c8\u30eb\u5fae\u7a4d\u5206\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac","footnotes":""},"categories":[5],"tags":[66089,11,13,10,14,6337,23524,12,1011,16,7782,15],"class_list":["post-71659","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-gentrification","tag-techniques","tag-technologie","tag-actualite","tag-news","tag-vectoriel","tag-euclidienne","tag-dossier","tag-geometrie","tag-sciences","tag-calcul","tag-article"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/71659"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=71659"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/71659\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/71660"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=71659"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=71659"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=71659"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}