{"id":255,"date":"2023-07-10T09:19:33","date_gmt":"2023-07-10T09:19:33","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e6%95%b0%e5%bc%8f%e7%a9%ba%e9%96%93%e5%86%85%e3%81%ae-2-%e6%9c%ac%e3%81%ae%e4%ba%a4%e5%b7%ae%e3%81%99%e3%82%8b%e7%b7%9a%e3%81%ae%e9%96%93%e3%81%ae%e8%b7%9d%e9%9b%a2\/"},"modified":"2023-07-10T09:19:33","modified_gmt":"2023-07-10T09:19:33","slug":"%e6%95%b0%e5%bc%8f%e7%a9%ba%e9%96%93%e5%86%85%e3%81%ae-2-%e6%9c%ac%e3%81%ae%e4%ba%a4%e5%b7%ae%e3%81%99%e3%82%8b%e7%b7%9a%e3%81%ae%e9%96%93%e3%81%ae%e8%b7%9d%e9%9b%a2","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e6%95%b0%e5%bc%8f%e7%a9%ba%e9%96%93%e5%86%85%e3%81%ae-2-%e6%9c%ac%e3%81%ae%e4%ba%a4%e5%b7%ae%e3%81%99%e3%82%8b%e7%b7%9a%e3%81%ae%e9%96%93%e3%81%ae%e8%b7%9d%e9%9b%a2\/","title":{"rendered":"\u4ea4\u5dee\u3059\u308b2\u672c\u306e\u7dda\u9593\u306e\u8ddd\u96e2\uff08\u8a08\u7b97\u5f0f\uff09"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u4ea4\u5dee\u3059\u308b 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u3092\u6c42\u3081\u308b\u65b9\u6cd5 (\u516c\u5f0f) \u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u4ea4\u5dee\u3059\u308b\u7dda\u9593\u306e\u8ddd\u96e2\u306e\u4f8b\u3092\u78ba\u8a8d\u3057\u3001\u89e3\u6c7a\u6e08\u307f\u306e\u6f14\u7fd2\u3092\u4f7f\u7528\u3057\u3066\u7df4\u7fd2\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-104\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-dos-rectas-que-se-cruzan\"><\/span>\u4ea4\u5dee\u3059\u308b2\u672c\u306e\u7dda\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u3092\u8aac\u660e\u3059\u308b\u524d\u306b\u30012 \u3064\u306e\u7dda\u306e\u9593\u306e\u3053\u306e\u30bf\u30a4\u30d7\u306e\u76f8\u5bfe\u4f4d\u7f6e\u304c\u6b63\u78ba\u306b\u3069\u306e\u3088\u3046\u306a\u69cb\u6210\u306b\u306a\u3063\u3066\u3044\u308b\u304b\u3092\u7c21\u5358\u306b\u601d\u3044\u51fa\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002 <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-105\"><\/div>\n<\/div>\n<p> <strong>2 \u3064\u306e\u4ea4\u5dee\u3059\u308b\u7dda (\u4ea4\u5dee\u7dda\u3068\u3082\u547c\u3070\u308c\u307e\u3059) \u306f\u3001\u7570\u306a\u308b\u65b9\u5411\u3092\u6301\u3061\u3001\u3069\u306e\u70b9\u3067\u3082\u4ea4\u5dee\u3057\u306a\u3044 2 \u3064\u306e\u5225\u500b\u306e\u7dda\u3067\u3059<\/strong>\u3002\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u4ea4\u5dee\u3057\u305f\u7dda\u306f\u540c\u3058\u5e73\u9762\u4e0a\u306b\u3042\u308a\u307e\u305b\u3093\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/lignes-dintersection-1.webp\" alt=\"2 \u3064\u306e\u30d3\u30f3\u3068\u4ea4\u5dee\u3059\u308b 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\" class=\"wp-image-2692\" width=\"227\" height=\"223\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u305f\u3068\u3048\u3070\u3001\u7dda\u306e\u4e0a\u306e\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u8868\u73fe\u3067\u306f\u3001<\/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-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5e38\u306b\u5217\u306e\u5148\u982d\u306b\u3044\u308b<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>, \u3057\u305f\u304c\u3063\u3066\u3001\u5f7c\u3089\u306f\u6c7a\u3057\u3066\u304a\u4e92\u3044\u306b\u89e6\u308c\u308b\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-distancia-entre-dos-rectas-que-se-cruzan\"><\/span>\u4ea4\u5dee\u3059\u308b2\u672c\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-106\"><\/div>\n<\/div>\n<p>\u7a7a\u9593\u5185\u3067\u4ea4\u5dee\u3059\u308b 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u3092\u6c7a\u5b9a\u3059\u308b\u306b\u306f\u3001\u3044\u304f\u3064\u304b\u306e\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u6700\u3082\u7c21\u5358\u306a 1 \u3064\u306e\u624b\u9806\u306e\u307f\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u4ed6\u306e 2 \u3064\u306e\u65b9\u6cd5\u306f\u9577\u304f\u3066\u8907\u96d1\u3067\u3001\u5b9f\u969b\u306b\u306f\u307b\u3068\u3093\u3069\u4f7f\u7528\u3055\u308c\u306a\u3044\u305f\u3081\u3067\u3059\u3002 <\/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\">\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3068 2 \u3064\u306e\u4ea4\u5dee\u3059\u308b\u7dda\u306e\u4efb\u610f\u306e\u70b9\u3092\u6b21\u306e\u3088\u3046\u306b\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-569f8d554a0f3704d247862d0b8ef852_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} \\vv{\\text{u}} \\\\[2ex] A\\end{cases} \\qquad \\qquad s: \\ \\begin{cases} \\vv{\\text{v}} \\\\[2ex] B\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"210\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"><strong>\u4ea4\u5dee\u3059\u308b 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u306e\u516c\u5f0f\u306f\u6b21<\/strong>\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-c613737cb66f811b123f886afd479e0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"158\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\">\u91d1<\/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-dbc3e38427d29b2f4444ea732f955500_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"78\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u6df7\u5408\u7a4d\u306e\u7d76\u5bfe\u5024\u3067\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4b6be5a59bbf478047e4f3ace338ee48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}, \\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"27\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u304a\u3088\u3073\u70b9\u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u308b\u30d9\u30af\u30c8\u30eb<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u305d\u3057\u3066<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u3002\u305d\u3057\u3066\u305d\u306e\u4e00\u65b9\u3067\u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a151f35eca7cc81494de906050e773fa_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>\u306f\u30012 \u3064\u306e\u4ea4\u5dee\u3057\u305f\u7dda\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u306e\u30d9\u30af\u30c8\u30eb\u7a4d\u306e\u5927\u304d\u3055\u3067\u3059\u3002<\/p>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u3092\u6c42\u3081\u308b\u306b\u306f\u3001 <a href=\"https:\/\/mathority.org\/ja\/3-\u3064\u306e\u30d8\u3099\u30af\u30c8\u30eb\u306e\u6df7\u5408\u7a4d\u307e\u305f\u306f-3-\u3064\u306e\u30b9\u30ab\u30e9\u30fc\u7a4d\u306e\u4f8b\/\">3 \u3064\u306e\u30c9\u30c3\u30c8\u7a4d<\/a>(\u307e\u305f\u306f 3 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u6df7\u5408\u7a4d) \u3068<a href=\"https:\/\/mathority.org\/ja\/2-\u3064\u306e\u30d8\u3099\u30af\u30c8\u30eb\u306e\u5916\u7a4d-\u30af\u30ed\u30b9\u516c\u5f0f\u306e\u4f8b-\u89e3\u6c7a\u3055\u308c\u305f\u6f14\u7fd2\/\">\u30d9\u30af\u30c8\u30eb\u7a4d<\/a>(\u307e\u305f\u306f 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u30d9\u30af\u30c8\u30eb\u7a4d) \u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u77e5\u3063\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u304c\u3069\u306e\u3088\u3046\u306b\u884c\u308f\u308c\u305f\u304b\u306b\u3064\u3044\u3066\u306f\u3001\u524d\u306e\u30ea\u30f3\u30af\u3067\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002\u5bfe\u5fdc\u3059\u308b\u516c\u5f0f\u3001\u4f8b\u3001\u304a\u3088\u3073\u89e3\u6c7a\u6e08\u307f\u306e\u6f14\u7fd2\u304c\u898b\u3064\u304b\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-hallar-la-distancia-entre-dos-rectas-que-se-cruzan\"><\/span>\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-109\"><\/div>\n<\/div>\n<p> 2 \u3064\u306e\u4ea4\u5dee\u3057\u305f\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u3092\u6c7a\u5b9a\u3059\u308b\u65b9\u6cd5\u3092\u78ba\u8a8d\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u4f8b\u3068\u3057\u3066\u554f\u984c\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u6b21\u306b\u4ea4\u5dee\u3059\u308b 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u306f\u3044\u304f\u3089\u3067\u3059\u304b?<\/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-6c4b9507f6e33691e0b89d18dac941cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\  \\cfrac{x-1}{2} = \\cfrac{y-2}{4} = \\cfrac{z+2}{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"203\" style=\"vertical-align: -12px;\"><\/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-c6dac5d90c57534aa97625685e0d60fa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s: \\  \\cfrac{x-3}{1} = \\cfrac{y+1}{3} = \\cfrac{z-1}{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"203\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u3001\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3068\u5404\u7dda\u4e0a\u306e\u70b9\u3092\u7279\u5b9a\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u76f4\u7dda\u306f\u9023\u7d9a\u65b9\u7a0b\u5f0f\u306e\u5f62\u5f0f\u3067\u8868\u73fe\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-8b990f78d0263975304586abbd330167_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} \\vv{\\text{u}} =(2,4,-1) \\\\[2ex] A(1,2,-2) \\end{cases} \\qquad \\qquad s: \\ \\begin{cases} \\vv{\\text{v}}=(1,3,-2) \\\\[2ex] B(3,-1,1)\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"389\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u306e\u516c\u5f0f\u3092\u9069\u7528\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-c613737cb66f811b123f886afd479e0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"158\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u4e00\u65b9\u3067\u3001\u6df7\u5408\u7a4d\u3092\u89e3\u6c7a\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-3238f24b114cb49bf33dd66bccad1ef3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB} = B - A = (3,-1,1) - (1,2,-2) = (2,-3,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"379\" 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-c52c12945d04e320e688caf714569113_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right| =\\left| \\begin{vmatrix} 2&amp;4&amp;-1 \\\\[1.1ex] 1&amp;3&amp;-2 \\\\[1.1ex] 2&amp;-3&amp;3 \\end{vmatrix}\\right| = \\left| -13 \\right| =13\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"321\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4e00\u65b9\u3001\u30d9\u30af\u30c8\u30eb\u7a4d\u306e\u5927\u304d\u3055\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-71afa7d4b49e542300c12b5263858665_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] 2&amp;4&amp;-1 \\\\[1.1ex] 1&amp;3&amp;-2 \\end{vmatrix}=-5\\vv{i} +3\\vv{j}+2\\vv{k}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"278\" style=\"vertical-align: 0px;\"><\/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-3c940dca4c85f7176555de5861b8f391_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left| \\vv{\\text{u}} \\times \\vv{\\text{v}} \\right| =\\sqrt{5^2+3^2+2^2} = \\sqrt{25+9+4} = \\sqrt{38}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"354\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6700\u5f8c\u306b\u30012 \u3064\u306e\u4ea4\u5dee\u3057\u305f\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u3092\u8868\u3059\u5f0f\u306e\u5404\u9805\u306e\u5024\u3092\u4ee3\u5165\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-b0aac39997c35738e8e84a29ff7c97c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert} = \\cfrac{13}{\\sqrt{38}}= \\bm{2,11}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"273\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-distancias-entre-dos-rectas-que-se-cruzan\"><\/span>\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u70b9\u3067\u4ea4\u5dee\u3059\u308b\u6b21\u306e 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\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-265216663967ca7073a6662f565a3002_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\  \\cfrac{x-1}{2} = \\cfrac{y+1}{1} = \\cfrac{z+3}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"203\" style=\"vertical-align: -12px;\"><\/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-30a48084a49d510c4d1b3693aa4fe2c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s: \\  \\cfrac{x-2}{3} = \\cfrac{y-4}{-1} = \\cfrac{z-1}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"203\" style=\"vertical-align: -12px;\"><\/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\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3068\u5404\u7dda\u4e0a\u306e\u70b9\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u76f4\u7dda\u306f\u9023\u7d9a\u65b9\u7a0b\u5f0f\u306e\u5f62\u5f0f\u3067\u5b9a\u7fa9\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-c9c49971e843f325a05b679decc761fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} \\vv{\\text{u}} =(2,1,2) \\\\[2ex] A(1,-1,-3) \\end{cases} \\qquad \\qquad s: \\ \\begin{cases} \\vv{\\text{v}}=(3,-1,2) \\\\[2ex] B(2,4,1)\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"382\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u3053\u3067\u3001\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u306e\u516c\u5f0f\u3092\u4f7f\u7528\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-c613737cb66f811b123f886afd479e0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"158\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6df7\u5408\u7a4d\u3092\u6c7a\u5b9a\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-7aebfb9bcb2e9dba46ba0e230db85d13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB} = B - A = (2,4,1) - (1,-1,-3) = (1,5,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"365\" 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-7cbbf07d92c61e9042c470cf0998979b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right| =\\left| \\begin{vmatrix} 2&amp;1&amp;2 \\\\[1.1ex] 3&amp;-1&amp;2 \\\\[1.1ex] 1&amp;5&amp;4 \\end{vmatrix}\\right| = \\left| -6 \\right| =6\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"289\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u5916\u7a4d\u306e\u5927\u304d\u3055\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-81ec8597a0394de740288b45f02f83fe_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] 2&amp;1&amp;2 \\\\[1.1ex] 3&amp;-1&amp;2 \\end{vmatrix}=4\\vv{i} +2\\vv{j}-5\\vv{k}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"265\" style=\"vertical-align: 0px;\"><\/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-d19b4508ad9d0abf5351ed01e69a9ed1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left| \\vv{\\text{u}} \\times \\vv{\\text{v}} \\right| =\\sqrt{4^2+2^2+(-5)^2} = \\sqrt{16+4+25} = \\sqrt{45}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"393\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u5f8c\u306b\u3001\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u3092\u8868\u3059\u5f0f\u306e\u5404\u9805\u306e\u5024\u3092\u4ee3\u5165\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-fd922136a96374c8e63c8fd2f9d5b75f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert} = \\cfrac{6}{\\sqrt{45}}= \\bm{0,89}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"274\" style=\"vertical-align: -17px;\"><\/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>\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\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-37d7980f4d797bacd8c0e89700ca8bdc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\  \\cfrac{x-2}{3} = \\cfrac{y-4}{1} = \\cfrac{z+2}{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"203\" style=\"vertical-align: -12px;\"><\/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-62d204b920ee51734407050000ba292a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s: \\  \\cfrac{x+1}{2} = \\cfrac{y+2}{-2} = \\cfrac{z-1}{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"203\" style=\"vertical-align: -12px;\"><\/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\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3068\u5404\u7dda\u4e0a\u306e\u70b9\u3092\u7279\u5b9a\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u76f4\u7dda\u306f\u9023\u7d9a\u65b9\u7a0b\u5f0f\u306e\u5f62\u5f0f\u3067\u8868\u73fe\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-0a143aef931b384aa35ce90cce508e6a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} \\vv{\\text{u}} =(3,1,-1) \\\\[2ex] A(2,4,-2) \\end{cases} \\qquad \\qquad s: \\ \\begin{cases} \\vv{\\text{v}}=(2,-2,5) \\\\[2ex] B(-1,-2,1)\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"389\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u3053\u3067\u3001\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u306e\u516c\u5f0f\u3092\u4f7f\u7528\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-c613737cb66f811b123f886afd479e0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"158\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6df7\u5408\u7a4d\u3092\u6c7a\u5b9a\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-bd6405404fbdff4444a2ef50960ebf92_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB} = B - A = (-1,-2,1) - (2,4.-2) = (-3,-6,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"411\" 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-416d4c694479118b488d6d2ce919065e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right| =\\left| \\begin{vmatrix} 3&amp;1&amp;-1 \\\\[1.1ex] 2&amp;-2&amp;5 \\\\[1.1ex] -3&amp;-6&amp;3 \\end{vmatrix}\\right| = \\left| 69 \\right| =69\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"321\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u5916\u7a4d\u306e\u5927\u304d\u3055\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-6c1fdd9699f2e2afea5f0e22d66893d4_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;-1 \\\\[1.1ex] 2&amp;-2&amp;5 \\end{vmatrix}=3\\vv{i} -17\\vv{j}-8\\vv{k}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"287\" style=\"vertical-align: 0px;\"><\/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-455404242cbc6840c272528679a162f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left| \\vv{\\text{u}} \\times \\vv{\\text{v}} \\right| =\\sqrt{3^2+(-17)^2+(-8)^2} = \\sqrt{9+289+64} = \\sqrt{362}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"447\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u30012 \u3064\u306e\u4ea4\u5dee\u3057\u305f\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u3092\u8868\u3059\u5f0f\u5185\u306e\u5404\u672a\u77e5\u306e\u5024\u3092\u4ee3\u5165\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-c6c7bf4bd93325deb60c6b700a80d57a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert} = \\cfrac{69}{\\sqrt{362}}= \\bm{3,63}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"283\" style=\"vertical-align: -17px;\"><\/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>\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\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-abb15a9455ed23548309cfd3984be869_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\  \\begin{cases} x= -4t \\\\[1.7ex] y=2+3t \\\\[1.7ex] z=-1+t \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"128\" style=\"vertical-align: 0px;\"><\/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-54a554e7979240b544ab677d73edfbcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s: \\  (x,y,z)=(4,2,1)+t(3,2,-5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"264\" 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\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3068\u5404\u7dda\u4e0a\u306e\u70b9\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u6a29\u5229<\/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-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f\u3068\u76f4\u7dda\u306e\u5f62\u5f0f\u3067\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u5f62\u5f0f\u3067\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-d16fe0b303ba2b4875f8306008c4277c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} \\vv{\\text{u}} =(-4,3,1) \\\\[2ex] A(0,2,-1) \\end{cases} \\qquad \\qquad s: \\ \\begin{cases} \\vv{\\text{v}}=(3,2,-5) \\\\[2ex] B(4,2,1)\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"389\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u3053\u3067\u3001\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u306e\u516c\u5f0f\u3092\u4f7f\u7528\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-c613737cb66f811b123f886afd479e0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"158\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u30c8\u30ea\u30d7\u30eb\u306e\u30b9\u30ab\u30e9\u30fc\u7a4d\u3092\u6c7a\u5b9a\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-229bcf34e10eb9029765f7c135db7378_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB} = B - A = (4,2,-1) - (0,2,1) = (4,0,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"365\" 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-bdaf8f04e3e0eb0f17938c92ce9a69e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right| =\\left| \\begin{vmatrix} -4&amp;3&amp;1 \\\\[1.1ex] 3&amp;2&amp;-5 \\\\[1.1ex] 4&amp;0&amp;-2 \\end{vmatrix}\\right| = \\left| -34 \\right| =34\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"321\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u5916\u7a4d\u306e\u5927\u304d\u3055\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-94e9d9a0e4f15b3f0070dc300fbd6a1b_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] -4&amp;3&amp;1 \\\\[1.1ex] 3&amp;2&amp;-5 \\end{vmatrix}=-17\\vv{i} -17\\vv{j}-17\\vv{k}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"318\" style=\"vertical-align: 0px;\"><\/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-3c0c1d091a3b9b5686d05dd36e8c6a49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left| \\vv{\\text{u}} \\times \\vv{\\text{v}} \\right| =\\sqrt{(-17)^2+(-17)^2+(-17)^2} = \\sqrt{289+289+289} = \\sqrt{867}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"519\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u5f8c\u306b\u3001\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u3092\u8868\u3059\u5f0f\u306e\u5404\u9805\u306e\u5024\u3092\u4ee3\u5165\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-24c2bf25fda88fa389cccd30c91db9d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert} = \\cfrac{34}{\\sqrt{867}}= \\bm{1,15}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"282\" style=\"vertical-align: -17px;\"><\/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\u3001\u4ea4\u5dee\u3059\u308b 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u3092\u6c42\u3081\u308b\u65b9\u6cd5 (\u516c\u5f0f) \u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u4ea4\u5dee\u3059\u308b\u7dda\u9593\u306e\u8ddd\u96e2\u306e\u4f8b\u3092\u78ba\u8a8d\u3057\u3001\u89e3\u6c7a\u6e08\u307f\u306e\u6f14\u7fd2\u3092\u4f7f\u7528\u3057\u3066\u7df4\u7fd2\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u4ea4\u5dee\u3059\u308b2\u672c\u306e\u7dda\u3068\u306f\u4f55\u3067\u3059\u304b? \u4ea4\u5dee\u3059\u308b 2  &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e6%95%b0%e5%bc%8f%e7%a9%ba%e9%96%93%e5%86%85%e3%81%ae-2-%e6%9c%ac%e3%81%ae%e4%ba%a4%e5%b7%ae%e3%81%99%e3%82%8b%e7%b7%9a%e3%81%ae%e9%96%93%e3%81%ae%e8%b7%9d%e9%9b%a2\/\"> <span class=\"screen-reader-text\">\u4ea4\u5dee\u3059\u308b2\u672c\u306e\u7dda\u9593\u306e\u8ddd\u96e2\uff08\u8a08\u7b97\u5f0f\uff09<\/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":[15],"tags":[],"class_list":["post-255","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized 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