{"id":75,"date":"2023-09-16T13:00:39","date_gmt":"2023-09-16T13:00:39","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e7%a9%ba%e9%96%93%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e8%a7%a3%e6%9e%90%e5%b9%be%e4%bd%95%e5%ad%a6%e5%bc%8f\/"},"modified":"2023-09-16T13:00:39","modified_gmt":"2023-09-16T13:00:39","slug":"%e7%a9%ba%e9%96%93%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e8%a7%a3%e6%9e%90%e5%b9%be%e4%bd%95%e5%ad%a6%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e7%a9%ba%e9%96%93%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e8%a7%a3%e6%9e%90%e5%b9%be%e4%bd%95%e5%ad%a6%e5%bc%8f\/","title":{"rendered":"\u7a7a\u9593\u306b\u304a\u3051\u308b\u89e3\u6790\u5e7e\u4f55\u5b66\uff08\u516c\u5f0f\uff09"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u7a7a\u9593\u306b\u304a\u3051\u308b\u89e3\u6790\u5e7e\u4f55\u5b66 (\u304a\u3088\u3073\u516c\u5f0f) \u306b\u95a2\u3059\u308b\u3059\u3079\u3066\u306e\u8aac\u660e\u304c\u898b\u3064\u304b\u308a\u307e\u3059\u3002\u76f4\u7dda\u3068\u5e73\u9762\u306e\u65b9\u7a0b\u5f0f\u3001\u5e73\u9762\u3068\u76f4\u7dda\u306e\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3001\u7a7a\u9593\u3067\u306e\u8ddd\u96e2\u3068\u89d2\u5ea6\u306e\u8a08\u7b97\u65b9\u6cd5\u306a\u3069\u3067\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-geometria-en-el-espacio\"><\/span>\u7a7a\u9593\u306b\u304a\u3051\u308b\u5e7e\u4f55\u5b66\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u7a7a\u9593\u5e7e\u4f55\u5b66<\/strong>\u306f\u3001\u4e09\u6b21\u5143 (3D) \u5e7e\u4f55\u5b66\u56f3\u5f62\u3001\u3064\u307e\u308a\u7a7a\u9593\u5185\u306e\u5834\u6240\u3092\u5360\u3081\u308b\u5e7e\u4f55\u5b66\u56f3\u5f62\u306e\u7814\u7a76\u3092\u62c5\u5f53\u3059\u308b\u5e7e\u4f55\u5b66\u306e\u5206\u91ce\u3067\u3059\u3002\u5186\u9310\u3001\u7acb\u65b9\u4f53\u3001\u89d2\u9310\u3001\u7403\u3001\u5186\u67f1\u3001\u89d2\u67f1\u3001\u591a\u9762\u4f53\u306a\u3069\u3002<\/p>\n<p>\u305f\u3060\u3057\u3001\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u70b9\u3001\u7dda\u3001\u5e73\u9762\u30012 \u3064\u306e\u5e7e\u4f55\u5b66\u7684\u56f3\u5f62\u306e\u9593\u306e\u8ddd\u96e2\u3001\u305d\u308c\u3089\u304c\u5f62\u6210\u3059\u308b\u89d2\u5ea6\u3001\u7570\u306a\u308b\u5e7e\u4f55\u5b66\u9593\u306e\u4ea4\u70b9\u306e\u5206\u6790\u306b\u7126\u70b9\u3092\u5f53\u3066\u308b\u7a7a\u9593<strong>\u5e7e\u4f55\u5b66<\/strong>\u306e\u4e00\u90e8\u3067\u3042\u308b\u3001\u7a7a\u9593\u306b\u304a\u3051\u308b\u89e3\u6790\u5e7e\u4f55\u5b66\u306b\u7126\u70b9\u3092\u5f53\u3066\u307e\u3059\u3002\u6570\u5b57\u3002\u8981\u7d20\u306a\u3069<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuaciones-de-la-recta-en-el-espacio\"><\/span>\u7a7a\u9593\u5185\u306e\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7dda\u306e\u6570\u5b66\u7684\u5b9a\u7fa9\u306f\u3001\u66f2\u7dda\u3084\u89d2\u5ea6\u3092\u6301\u305f\u305a\u306b\u540c\u3058\u65b9\u5411\u306b\u8868\u73fe\u3055\u308c\u305f\u4e00\u9023\u306e\u70b9\u3067\u3042\u308b\u3053\u3068\u3092\u601d\u3044\u51fa\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001(R3 \u3067) 3 \u6b21\u5143\u7a7a\u9593\u5185\u306e\u4efb\u610f\u306e\u7dda\u3092\u6570\u5b66\u7684\u306b\u8868\u73fe\u3059\u308b\u306b\u306f\u3001\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002\u305d\u308c\u3089\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u3001\u7dda\u306b\u5c5e\u3059\u308b\u70b9\u3068\u305d\u306e\u7dda\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u306e\u307f\u304c\u5fc5\u8981\u3067\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equations-de-la-droite-1.webp\" alt=\"\u7dda\u306e\u65b9\u7a0b\u5f0fpdf\" width=\"287\" height=\"273\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u3053\u308c\u3089 2 \u3064\u306e\u5e7e\u4f55\u5b66\u7684\u8981\u7d20\u3060\u3051\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306a\u76f4\u7dda\u306e\u3055\u307e\u3056\u307e\u306a\u65b9\u7a0b\u5f0f\u3092\u3059\u3079\u3066\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u3001<strong>\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f<\/strong>\u3001<strong>\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f<\/strong>\u3001<strong>\u9023\u7d9a\u65b9\u7a0b\u5f0f<\/strong>\u3001\u304a\u3088\u3073<strong>\u9670\u7684 (\u307e\u305f\u306f\u4e00\u822c) \u65b9\u7a0b\u5f0f<\/strong>\u3067\u3059\u3002<\/p>\n<p>\u4ee5\u4e0b\u306b\u3001\u3055\u307e\u3056\u307e\u306a\u30bf\u30a4\u30d7\u306e\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-vectorial-de-la-recta-en-el-espacio\"><\/span>\u7a7a\u9593\u5185\u306e\u76f4\u7dda\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u3046\u3093<\/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-391ac2e3ba0b7f327ba5a0edc1ba162d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u76f4\u7dda\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3067\u3042\u308a\u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u53f3\u5074\u306b\u5c5e\u3059\u308b\u70b9:<\/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-c953822ce25652ca448e94a788a57727_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}= (\\text{v}_x,\\text{v}_y,\\text{v}_z) \\qquad P(P_x,P_y,P_z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"251\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p><strong>\u76f4\u7dda\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u306e\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-acaf0a8e7defa1334cde7e01a2e65f4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      (x,y,z)=(P_x,P_y,P_z)+t\\cdot (\\text{v}_x,\\text{v}_y,\\text{v}_z) \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuaciones-parametricas-de-la-recta-en-el-espacio\"><\/span>\u7a7a\u9593\u5185\u306e\u7dda\u306e\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u3092\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u3068\u7b49\u3057\u304f\u3059\u308b\u3053\u3068\u3067\u3001\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u304b\u3089\u7dda\u306e<strong>\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f\u306e\u5f0f\u3092<\/strong>\u53d6\u5f97\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-a892d067e1fbbb24d966cf0443eb995e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle \\begin{cases} x=P_x+t\\cdot\\text{v}_x \\\\[1.7ex] y=P_y+t\\cdot\\text{v}_y \\\\[1.7ex] z=P_z+t\\cdot\\text{v}_z\\end{cases} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-continua-de-la-recta-en-el-espacio\"><\/span>\u7a7a\u9593\u5185\u306e\u76f4\u7dda\u306e\u9023\u7d9a\u65b9\u7a0b\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u76f4\u7dda\u306e\u9023\u7d9a\u65b9\u7a0b\u5f0f<\/strong>\u306e\u516c\u5f0f\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-813bcf24a017b36ee987fcc70fb5adf1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\cfrac{x-P_x}{\\text{v}_x}=\\cfrac{y-P_y}{\\text{v}_y}= \\cfrac{z-P_z}{\\text{v}_z} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u30bf\u30a4\u30d7\u306e\u76f4\u7dda\u65b9\u7a0b\u5f0f\u306f\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f\u304b\u3089\u3082\u53d6\u5f97\u3067\u304d\u307e\u3059\u3002<a href=\"https:\/\/mathority.org\/ja\/\u76f4\u7dda\u306e\u9023\u7d9a\u65b9\u7a0b\u5f0f\/\">\u9023\u7d9a\u65b9\u7a0b\u5f0f<\/a>\u306e\u30da\u30fc\u30b8\u3067\u30c7\u30e2\u3092\u3054\u89a7\u3044\u305f\u3060\u3051\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u53f3\u5074\u304b\u3089\u65b9\u7a0b\u5f0f\u306e\u4f8b\u3092\u898b\u3066\u3001\u89e3\u3044\u305f\u6f14\u7fd2\u3067\u7df4\u7fd2\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuaciones-general-o-implicita-de-la-recta-en-el-espacio\"><\/span>\u7a7a\u9593\u5185\u306e\u76f4\u7dda\u306e\u4e00\u822c (\u307e\u305f\u306f\u6697\u9ed9\u306e) \u65b9\u7a0b\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u6700\u5f8c\u306b\u3001\u76f4\u7dda\u306e\u9023\u7d9a\u65b9\u7a0b\u5f0f\u306e\u5206\u6570\u3092 2 \u3067\u4e57\u7b97\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001<strong>\u76f4\u7dda\u306e\u4e00\u822c (\u307e\u305f\u306f\u9670\u7684) \u65b9\u7a0b\u5f0f\u304c<\/strong>\u5f97\u3089\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-1507f641dfa92df09983b3950ee23c80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle \\begin{cases} A_1x+B_1y+C_1z+D_1=0 \\\\[1.7ex] A_2x+B_2y+C_2z+D_2=0\\end{cases} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u30bf\u30a4\u30d7\u306e\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u3001\u30c7\u30ab\u30eb\u30c8\u65b9\u7a0b\u5f0f\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002<\/p>\n<p>\u6700\u3082\u95a2\u9023\u6027\u306e\u9ad8\u3044\u76f4\u7dda\u306e 4 \u3064\u306e\u65b9\u7a0b\u5f0f (\u30d9\u30af\u30c8\u30eb\u3001\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u3001\u9023\u7d9a\u3001\u304a\u3088\u3073\u4e00\u822c) \u3092\u898b\u3066\u304d\u307e\u3057\u305f\u304c\u3001\u5c11\u3057\u7279\u6b8a\u306a\u65b9\u7a0b\u5f0f\u304c\u3082\u3046 1 \u3064\u3042\u308b\u305f\u3081\u3001\u305d\u308c\u3092\u8aac\u660e\u3059\u308b\u306b\u306f 1 \u30da\u30fc\u30b8\u304b\u304b\u308a\u307e\u3059\u3002\u3053\u308c\u306f<a href=\"https:\/\/mathority.org\/ja\/\u7dda\u5206\u65b9\u7a0b\u5f0f\u306e\u6b63\u6e96\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u5bfe\u79f0\u65b9\u7a0b\u5f0f\u306e\u89e3\u7b54\u4f8b\u6f14\u7fd2\/\">\u6b63\u6e96\u65b9\u7a0b\u5f0f<\/a>\u3067\u3059\u3002\u3053\u306e\u30ea\u30f3\u30af\u3067\u306f\u3001\u305d\u306e\u8aac\u660e\u5168\u4f53\u3001\u306a\u305c\u305d\u308c\u304c\u7279\u5225\u306a\u306e\u304b\u3001\u4ed6\u306e\u65b9\u7a0b\u5f0f\u3068\u4f55\u304c\u9055\u3046\u306e\u304b\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuaciones-del-plano-en-el-espacio\"><\/span>\u7a7a\u9593\u306b\u304a\u3051\u308b\u5e73\u9762\u65b9\u7a0b\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u89e3\u6790\u5e7e\u4f55\u5b66\u306b\u304a\u3044\u3066\u3001<strong>\u5e73\u9762\u306e\u65b9\u7a0b\u5f0f\u306f<\/strong>\u3001\u4efb\u610f\u306e\u5e73\u9762\u3092\u89e3\u6790\u7684\u306b\u8868\u73fe\u3067\u304d\u308b\u65b9\u7a0b\u5f0f\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5e73\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u30011 \u3064\u306e\u70b9\u3068\u3001\u305d\u306e\u5e73\u9762\u306b\u5c5e\u3059\u308b 2 \u3064\u306e\u7dda\u5f62\u306b\u72ec\u7acb\u3057\u305f\u30d9\u30af\u30c8\u30eb\u306e\u307f\u304c\u5fc5\u8981\u3067\u3059\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\/equations-planes.webp\" alt=\"\u30aa\u30f3\u30e9\u30a4\u30f3\u3067\u306exy\u5e73\u9762\u65b9\u7a0b\u5f0f\" class=\"wp-image-2443\" width=\"404\" height=\"142\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u5e73\u9762\u306e\u3059\u3079\u3066\u306e\u30bf\u30a4\u30d7\u306e\u65b9\u7a0b\u5f0f\u306f\u3001<strong>\u5e73\u9762\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f<\/strong>\u3001<strong>\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f<\/strong>\u3001<strong>\u9670\u7684 (\u307e\u305f\u306f\u4e00\u822c) \u65b9\u7a0b\u5f0f<\/strong>\u3001\u304a\u3088\u3073<strong>\u6b63\u6e96 (\u307e\u305f\u306f\u90e8\u5206) \u65b9\u7a0b\u5f0f<\/strong>\u3067\u3059\u3002<\/p>\n<p>\u6b21\u306b\u3001\u8a08\u753b\u306e\u3059\u3079\u3066\u306e\u65b9\u7a0b\u5f0f\u306e\u8aac\u660e\u3068\u5f0f\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-vectorial-del-plano\"><\/span>\u5e73\u9762\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u70b9\u3068\u5e73\u9762\u306e 2 \u3064\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u304c\u4e0e\u3048\u3089\u308c\u308b\u3068\u3001\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-cf5d4130501bb01b15aa80f8f80caf1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c} P(P_x,P_y,P_z) \\\\[2ex] \\vv{\\text{u}}=(\\text{u}_x,\\text{u}_y,\\text{u}_z)\\\\[2ex] \\vv{\\text{v}}=(\\text{v}_x,\\text{v}_y,\\text{v}_z)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"116\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p><strong>\u5e73\u9762\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\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-d9227901692832cb0c176a896d35e896_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      (x,y,z)=P+\\lambda \\vv{\\text{u}} + \\mu \\vv{\\text{v}} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u307e\u305f\u306f\u540c\u7b49\u306e\u3082\u306e:<\/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-78b41d21b63c22ec05d3f93576a897e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y,z)=(P_x,P_y,P_z)+\\lambda (\\text{u}_x,\\text{u}_y,\\text{u}_z) + \\mu (\\text{v}_x,\\text{v}_y,\\text{v}_z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"398\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p>\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-2b5c45836864531b8e37025dabadd24a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" 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-461fe1a58a75801541487ddf10d32abd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u3053\u308c\u3089\u306f 2 \u3064\u306e\u30b9\u30ab\u30e9\u30fc\u3001\u3064\u307e\u308a 2 \u3064\u306e\u5b9f\u6570\u3067\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuaciones-parametricas-del-plano\"><\/span>\u5e73\u9762\u306e\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u4e00\u65b9\u3001<strong>\u5e73\u9762\u306e\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u65b9\u7a0b\u5f0f<\/strong>\u306e\u516c\u5f0f\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-e1791802331aa9973126b3d7c7f1b716_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle \\begin{cases}x=P_x + \\lambda \\text{u}_x + \\mu \\text{v}_x \\\\[1.7ex] y=P_y + \\lambda \\text{u}_y + \\mu \\text{v}_y\\\\[1.7ex] z=P_z + \\lambda\\text{u}_z + \\mu \\text{v}_z \\end{cases} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-implicita-o-general-del-plano\"><\/span>\u5e73\u9762\u306e\u6697\u9ed9\u7684\u307e\u305f\u306f\u4e00\u822c\u65b9\u7a0b\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u8a08\u753b\u306e\u6697\u9ed9\u7684\u306a\u65b9\u7a0b\u5f0f\u306f\u3001\u4e00\u822c\u65b9\u7a0b\u5f0f\u3068\u3082\u547c\u3070\u308c\u3001\u6b21\u306e\u884c\u5217\u5f0f\u3092\u89e3\u304d\u3001\u7d50\u679c\u3092 0 \u306b\u8a2d\u5b9a\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u53d6\u5f97\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-68d67612dfa54d76666aa37b702a472f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}\\text{u}_x &amp; \\text{v}_x &amp; x-P_x \\\\[1.1ex]\\text{u}_y &amp; \\text{v}_y &amp; y-P_y \\\\[1.1ex]\\text{u}_z &amp; \\text{v}_z &amp; z-P_z \\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"163\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u8a08\u753b\u306e\u6697\u9ed9\u7684\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u4e00\u822c\u65b9\u7a0b\u5f0f\u306f<\/strong>\u6b21\u306e\u5f62\u5f0f\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-7dcacf16123986ecd33dace4f4411914_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle Ax+By+Cz+D=0 \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u30bf\u30a4\u30d7\u306e\u5e73\u9762\u65b9\u7a0b\u5f0f\u306f\u3001\u30c7\u30ab\u30eb\u30c8\u5e73\u9762\u65b9\u7a0b\u5f0f\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-canonica-o-segmentaria-del-plano\"><\/span>\u5e73\u9762\u306e\u6b63\u6e96\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u90e8\u5206\u65b9\u7a0b\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5e73\u9762\u306e\u6b63\u6e96\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u90e8\u5206\u65b9\u7a0b\u5f0f\u306e\u5f0f<\/strong>\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-7c19853d465a703aa398bde04fa3222c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle \\cfrac{x}{a}+\\cfrac{y}{b} + \\cfrac{z}{c} = 1  \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u91d1\uff1a<\/p>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u3053\u308c\u306f\u3001\u5e73\u9762\u3068 X \u8ef8\u306e\u4ea4\u70b9\u3067\u3059\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u3053\u308c\u306f\u3001\u5e73\u9762\u3068 Y \u8ef8\u306e\u4ea4\u70b9\u3067\u3059\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u3053\u308c\u306f\u3001\u5e73\u9762\u304c Z \u8ef8\u3068\u4ea4\u5dee\u3059\u308b\u5834\u6240\u3067\u3059\u3002 <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"vector-normal-a-un-plano\"><\/span>\u5e73\u9762\u306b\u5782\u76f4\u306a\u30d9\u30af\u30c8\u30eb<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5e73\u9762\u306b\u5782\u76f4\u306a\u30d9\u30af\u30c8\u30eb\u306f\u3001\u3053\u306e\u5e73\u9762\u306b\u542b\u307e\u308c\u308b\u3059\u3079\u3066\u306e\u7dda\u306b\u5782\u76f4\u306a\u30d9\u30af\u30c8\u30eb\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5e73\u9762\u306b\u5782\u76f4\u306a\u30d9\u30af\u30c8\u30eb\u306f\u3001\u5e73\u9762\u306b\u5782\u76f4\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<p>\u7a7a\u9593\u89e3\u6790\u5e7e\u4f55\u5b66\u306b\u304a\u3051\u308b\u8a08\u91cf\u554f\u984c\u306e\u591a\u304f\u306f\u3001\u5e73\u9762\u3068\u305d\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306b\u95a2\u4fc2\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u6f14\u7fd2\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u3001\u5e73\u9762\u3068\u305d\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306e\u9593\u306e\u6570\u5b66\u7684\u95a2\u4fc2\u3092\u77e5\u308b\u5fc5\u8981\u304c\u3042\u308b\u3060\u3051\u3067\u3059\u3002<\/p>\n<p><strong>\u5e73\u9762\u306b\u5782\u76f4\u306a\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206 X\u3001Y\u3001Z \u306f<strong>\u3001\u305d\u308c\u305e\u308c<\/strong><\/strong><strong>\u524d\u8a18\u5e73\u9762\u306e\u9670\u7684\u306a (\u307e\u305f\u306f\u4e00\u822c\u7684\u306a) \u65b9\u7a0b\u5f0f\u306e\u4fc2\u6570 A\u3001B\u3001C \u3068\u4e00\u81f4\u3057\u307e\u3059\u3002<\/strong><\/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-27f3ee5d7e81864550f3b86fdd53e89d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\color{orange} \\boxed{ \\color{black} \\quad \\pi : \\ Ax+By+C+D = 0 \\quad \\iff \\quad \\vv{n} = (A,B,C) \\quad \\vphantom{\\Bigl(}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"540\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\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-10affe1faee06a5faa4ef6d9c0473b1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5e73\u9762\u306b\u76f4\u4ea4\u3059\u308b\u30d9\u30af\u30c8\u30eb\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-26622dd58bf71cd1b543c3d83233c561_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"posiciones-relativas-de-dos-elementos-geometricos-en-el-espacio\"><\/span>\u7a7a\u9593\u5185\u306e 2 \u3064\u306e\u5e7e\u4f55\u5b66\u7684\u8981\u7d20\u306e\u76f8\u5bfe\u4f4d\u7f6e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u660e\u3089\u304b\u306b\u3001\u7dda\u3084\u5e73\u9762\u306f\u5fc5\u305a\u3057\u3082\u7a7a\u9593\u5185\u306b\u5358\u72ec\u3067\u5b58\u5728\u3059\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u9006\u306b\u3001\u901a\u5e38\u306f\u4e92\u3044\u306b\u5f71\u97ff\u3057\u5408\u3044\u307e\u3059\u3002\u4ea4\u5dee\u3057\u305f\u308a\u3001\u5e73\u884c\u3057\u305f\u308a\u3001\u5782\u76f4\u306b\u306a\u3063\u305f\u308a\u3057\u307e\u3059\u3002\u3055\u3066\u3001\u3053\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u306f\u3001\u7dda\u3068\u5e73\u9762\u306e\u3055\u307e\u3056\u307e\u306a\u76f8\u5bfe\u4f4d\u7f6e\u3068\u3001\u305d\u308c\u3089\u304c\u3069\u306e\u3088\u3046\u306b\u6c7a\u5b9a\u3055\u308c\u308b\u304b\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"posicion-relativa-de-dos-rectas-en-el-espacio\"><\/span>\u7a7a\u9593\u5185\u306e 2 \u3064\u306e\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u89e3\u6790\u5e7e\u4f55\u5b66\u3067\u306f\u30013 \u6b21\u5143\u7a7a\u9593 (R3) \u3067\u4f5c\u696d\u3059\u308b\u5834\u5408\u30012 \u3064\u306e\u7dda\u306e\u9593\u306b\u306f 4 \u3064\u306e\u76f8\u5bfe\u4f4d\u7f6e\u304c\u8003\u3048\u3089\u308c\u307e\u3059\u30022 \u3064\u306e\u7dda\u306f\u3001<strong>\u4e00\u81f4\u7dda<\/strong>\u3001<strong>\u5e73\u884c\u7dda<\/strong>\u3001<strong>\u5272\u7dda<\/strong>\u3001\u307e\u305f\u306f<strong>\u5272\u7dda<\/strong>\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-9\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00\"><strong>\u5e73\u884c\u7dda<\/strong><\/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\/droites-paralleles-a-langle.webp\" alt=\"2 \u672c\u306e\u5e73\u884c\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e\" class=\"wp-image-1643\" width=\"222\" height=\"200\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> 2 \u672c\u306e\u7dda\u306f\u3001\u65b9\u5411\u304c\u540c\u3058\u3067\u3082\u5171\u901a\u70b9\u304c\u306a\u3044\u5834\u5408\u3001\u5e73\u884c\u3067\u3059\u3002\u3055\u3089\u306b\u3001\u5e73\u884c\u7dda\u306f\u5e38\u306b\u4e92\u3044\u306b\u540c\u3058\u8ddd\u96e2\u306b\u3042\u308a\u307e\u3059\u3002 <\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00\"><strong>\u4e00\u81f4\u3059\u308b\u7dda<\/strong><\/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\/angle-coincident-lignes.webp\" alt=\"\u4e00\u81f4\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e\" class=\"wp-image-1646\" width=\"202\" height=\"179\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> 2 \u672c\u306e\u7dda\u304c\u540c\u3058\u65b9\u5411\u3092\u6301\u3061\u3001\u3059\u3079\u3066\u306e\u70b9\u304c\u5171\u901a\u3057\u3066\u3044\u308b\u5834\u5408\u30012 \u672c\u306e\u7dda\u306f\u4e00\u81f4\u3057\u307e\u3059\u3002 <\/p>\n<\/div>\n<\/div>\n<div class=\"wp-block-columns is-layout-flex wp-container-12\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00\"><strong>\u4ea4\u7dda<\/strong><\/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\/angles-droits-secants.webp\" alt=\"\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e\" class=\"wp-image-1644\" width=\"222\" height=\"208\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306f\u65b9\u5411\u304c\u7570\u306a\u308a\u307e\u3059\u304c\u30011 \u70b9\u3067\u63a5\u89e6\u3057\u307e\u3059\u3002 <\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00\"><strong>\u4ea4\u7dda<\/strong><\/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=\"\" class=\"wp-image-2692\" width=\"228\" height=\"221\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306f\u65b9\u5411\u304c\u7570\u306a\u308a\u3001\u3069\u306e\u70b9\u3067\u3082\u4ea4\u5dee\u3057\u307e\u305b\u3093\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\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>\u3044\u3064\u3082\u76f4\u7dda\u306e\u5148\u306b\u3042\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<\/div>\n<\/div>\n<h4 class=\"wp-block-heading\">\u7bc4\u56f2\u306b\u3088\u3063\u3066 2 \u3064\u306e\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5<\/h4>\n<p>2 \u3064\u306e\u884c\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u898b\u3064\u3051\u308b 1 \u3064\u306e\u65b9\u6cd5\u306f\u3001\u4ee5\u4e0b\u306b\u793a\u3059\u3088\u3046\u306b\u30012 \u3064\u306e\u7279\u5b9a\u306e\u884c\u5217\u306e\u7bc4\u56f2\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u3053\u306e\u65b9\u6cd5\u306f\u30012 \u3064\u306e\u76f4\u7dda\u304c\u9670\u7684\u306a (\u307e\u305f\u306f\u4e00\u822c\u7684\u306a) \u65b9\u7a0b\u5f0f\u306e\u5f62\u5f0f\u3067\u8868\u73fe\u3055\u308c\u308b\u5834\u5408\u306b\u975e\u5e38\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u30013 \u6b21\u5143\u7a7a\u9593 (R3) \u3067\u6697\u9ed9\u7684\u306a (\u307e\u305f\u306f\u4e00\u822c\u7684\u306a) \u65b9\u7a0b\u5f0f\u3067\u8868\u73fe\u3055\u308c\u305f 2 \u3064\u306e\u76f4\u7dda\u304c\u3042\u308b\u3068\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-500405383e97627c17d01023fd9dd198_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases}A_1x+B_1y+C_1z+D_1=0 \\\\[2ex] A_2x+B_2y+C_2z+D_2=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"256\" 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-1c96b6990dae5ce476ee55689cf4f4fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s: \\ \\begin{cases}A_3x+B_3y+C_3z+D_3=0 \\\\[2ex] A_4x+B_4y+C_4z+D_4=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"256\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> A \u3092 2 \u3064\u306e\u30e9\u30a4\u30f3\u306e\u4fc2\u6570\u3067\u69cb\u6210\u3055\u308c\u308b\u884c\u5217\u3068\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-9199790c5f157691d9307604f25fc873_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}A_1 &amp; B_1 &amp; C_1\\\\[1.1ex]A_2 &amp; B_2 &amp; C_2\\\\[1.1ex]A_3 &amp; B_3 &amp; C_3\\\\[1.1ex]A_4 &amp; B_4 &amp; C_4 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"158\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u3001\u5c55\u958b\u3055\u308c\u305f\u884c\u5217 A&#8217; \u3092\u8003\u3048\u308b\u3068\u3001\u3053\u308c\u306f 2 \u3064\u306e\u884c\u306e\u3059\u3079\u3066\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u3067\u69cb\u6210\u3055\u308c\u308b\u884c\u5217\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-f087aea2d9209341c2acf240eab2bc77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A'=\\begin{pmatrix}A_1 &amp; B_1 &amp; C_1&amp;D_1\\\\[1.1ex]A_2 &amp; B_2 &amp; C_2&amp;D_2\\\\[1.1ex]A_3 &amp; B_3 &amp; C_3&amp;D_3\\\\[1.1ex]A_4 &amp; B_4 &amp; C_4&amp;D_4 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"201\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u30012 \u3064\u306e\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e\u306f\u3001\u6b21\u306e\u8868\u306b\u5f93\u3063\u3066\u3001\u524d\u306e 2 \u3064\u306e\u884c\u5217\u306e\u7bc4\u56f2\u306b\u3088\u3063\u3066\u6c7a\u5b9a\u3067\u304d\u307e\u3059\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\/positions-relatives-de-deux-lignes-par-plages.webp\" alt=\"\u7bc4\u56f2\u306b\u3088\u308b 2 \u3064\u306e\u7dda\u306e\u76f8\u5bfe\u4f4d\u7f6e\" class=\"wp-image-2752\" width=\"494\" height=\"223\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p><strong>\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u884c\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u3001\u4e21\u65b9\u306e\u884c\u5217\u306e\u7bc4\u56f2\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u3001\u5404\u884c\u5217\u306e\u7bc4\u56f2\u306b\u5fdc\u3058\u3066\u3069\u3061\u3089\u304b\u306e\u5834\u5408\u304c\u6c7a\u307e\u308a\u307e\u3059\u3002<\/strong><\/p>\n<p>\u3053\u306e\u5b9a\u7406\u306f\u30eb\u30fc\u30b7\u30a7-\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u5b9a\u7406 (\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u65b9\u6cd5) \u3092\u4f7f\u7528\u3057\u3066\u8a3c\u660e\u3067\u304d\u307e\u3059\u304c\u3001\u975e\u5e38\u306b\u9762\u5012\u3067\u3042\u307e\u308a\u8ffd\u52a0\u3057\u306a\u3044\u305f\u3081\u3001\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u8a3c\u660e\u3092\u884c\u3044\u307e\u305b\u3093\u3002 \u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"posicion-relativa-de-dos-planos-en-el-espacio\"><\/span>\u7a7a\u9593\u5185\u306e 2 \u3064\u306e\u5e73\u9762\u306e\u76f8\u5bfe\u4f4d\u7f6e<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u89e3\u6790\u5e7e\u4f55\u5b66\u3067\u306f\u30012 \u3064\u306e\u5e73\u9762\u9593\u306b\u53ef\u80fd\u306a\u76f8\u5bfe\u4f4d\u7f6e\u306f\u3001\u4ea4\u5dee\u3059\u308b\u5e73\u9762\u3001\u5e73\u884c\u306a\u5e73\u9762\u3001\u4e00\u81f4\u3059\u308b\u5e73\u9762\u306e 3 \u3064\u3060\u3051\u3067\u3059\u3002<\/p>\n<ul>\n<li><strong>\u4ea4\u5dee\u3059\u308b\u5e73\u9762<\/strong>: 2 \u3064\u306e\u5e73\u9762\u304c 1 \u3064\u306e\u7dda\u4e0a\u3067\u306e\u307f\u4ea4\u5dee\u3059\u308b\u5834\u5408\u30012 \u3064\u306e\u5e73\u9762\u306f\u4ea4\u5dee\u3057\u3066\u3044\u307e\u3059\u3002<\/li>\n<li><strong>\u5e73\u884c\u5e73\u9762<\/strong>: 2 \u3064\u306e\u5e73\u9762\u306f\u3001\u3069\u306e\u70b9\u3067\u3082\u4ea4\u5dee\u3057\u306a\u3051\u308c\u3070\u5e73\u884c\u3067\u3059\u3002<\/li>\n<li><strong>\u4e00\u81f4\u3059\u308b\u5e73\u9762<\/strong>: 2 \u3064\u306e\u5e73\u9762\u306f\u3001\u3059\u3079\u3066\u306e\u70b9\u304c\u5171\u901a\u3057\u3066\u3044\u308b\u5834\u5408\u306b\u4e00\u81f4\u3057\u307e\u3059\u3002 <\/li>\n<\/ul>\n<div class=\"wp-block-columns is-layout-flex wp-container-16\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00\"><strong>\u4ea4\u5dee\u3059\u308b\u30b7\u30e7\u30c3\u30c8<\/strong><\/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\/plans-secants.webp\" alt=\"2 \u3064\u306e\u4ea4\u5dee\u3059\u308b\u5e73\u9762\u306e\u76f8\u5bfe\u4f4d\u7f6e\" class=\"wp-image-2814\" width=\"265\" height=\"258\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00\"><strong>\u5e73\u884c\u9762<\/strong><\/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\/plans-paralleles-1.webp\" alt=\"2 \u3064\u306e\u5e73\u884c\u306a\u5e73\u9762\u306e\u76f8\u5bfe\u4f4d\u7f6e\" class=\"wp-image-2815\" width=\"266\" height=\"166\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00\"><strong>\u30de\u30c3\u30c1\u30f3\u30b0\u30d7\u30e9\u30f3<\/strong><\/p>\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/deux-avions-coincidents.webp\" alt=\"\u4e00\u81f4\u3059\u308b 2 \u3064\u306e\u5e73\u9762\u306e\u76f8\u5bfe\u4f4d\u7f6e\" class=\"wp-image-2820\" width=\"294\" height=\"83\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<\/div>\n<h4 class=\"wp-block-heading\">\u4fc2\u6570\u306b\u3088\u3063\u3066 2 \u3064\u306e\u5e73\u9762\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u6c7a\u5b9a\u3059\u308b\u65b9\u6cd5<\/h4>\n<p>2 \u3064\u306e\u5e73\u9762\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u3092\u77e5\u308b 1 \u3064\u306e\u65b9\u6cd5\u306f\u3001\u4e00\u822c (\u307e\u305f\u306f\u6697\u9ed9\u7684\u306a) \u65b9\u7a0b\u5f0f\u306e\u4fc2\u6570\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u3067\u3059\u3002<\/p>\n<p>\u6b21\u306b\u30012 \u3064\u306e\u7570\u306a\u308b\u5e73\u9762\u306e\u4e00\u822c (\u307e\u305f\u306f\u6697\u9ed9\u306e) \u65b9\u7a0b\u5f0f\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-a363201f1d61e53c35c3484a0fe116d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ Ax+By+Cz+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"221\" style=\"vertical-align: -4px;\"><\/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-330dffa3582cfbd92e893f755d2b06a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_2 : \\ A'x+B'y+C'z+D'=0\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"240\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> 3 \u6b21\u5143\u7a7a\u9593\u306b\u304a\u3051\u308b 2 \u3064\u306e\u5e73\u9762\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u306f\u3001\u305d\u308c\u3089\u306e\u4fc2\u6570\u307e\u305f\u306f\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u306e\u6bd4\u4f8b\u6027\u306b\u4f9d\u5b58\u3057\u307e\u3059\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\/position-relative-de-deux-plans-avec-parametres.webp\" alt=\"\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u4f7f\u7528\u3057\u305f 2 \u3064\u306e\u5e73\u9762\u306e\u76f8\u5bfe\u4f4d\u7f6e\" class=\"wp-image-2825\" width=\"483\" height=\"263\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u4fc2\u6570 A\u3001B\u3001\u307e\u305f\u306f C \u306e\u3044\u305a\u308c\u304b\u304c\u4ed6\u306e\u4fc2\u6570\u306b\u6bd4\u4f8b\u3057\u306a\u3044\u5834\u5408\u30012 \u3064\u306e\u5e73\u9762\u306f\u4ea4\u5dee\u3057\u307e\u3059\u3002\u4e00\u65b9\u3001\u72ec\u7acb\u9805\u306e\u307f\u304c\u6bd4\u4f8b\u3057\u306a\u3044\u5834\u5408\u30012 \u3064\u306e\u5e73\u9762\u306f\u5e73\u884c\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u3057\u3066\u6700\u5f8c\u306b\u30012 \u3064\u306e\u65b9\u7a0b\u5f0f\u306e\u4fc2\u6570\u304c\u3059\u3079\u3066\u6bd4\u4f8b\u3059\u308b\u5834\u5408\u3001\u8a08\u753b\u306f\u4e00\u81f4\u3057\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distancias-en-el-espacio\"><\/span> \u7a7a\u9593\u5185\u306e\u8ddd\u96e2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4ee5\u4e0b\u306f\u3001\u70b9\u3068\u7dda\u306e\u9593\u30012 \u3064\u306e\u5e73\u9762\u306e\u9593\u3001\u5e73\u9762\u3068\u7dda\u306e\u9593\u306a\u3069\u3001\u3055\u307e\u3056\u307e\u306a\u5e7e\u4f55\u5b66\u7684\u8981\u7d20\u9593\u306e\u8ddd\u96e2\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u3067\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distancia-entre-dos-puntos\"><\/span> 2 \u70b9\u9593\u306e\u8ddd\u96e2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>2 \u70b9\u9593\u306e\u8ddd\u96e2\u306f\u3001\u3053\u308c\u3089 2 \u70b9\u306b\u3088\u3063\u3066\u6c7a\u5b9a\u3055\u308c\u308b\u30d9\u30af\u30c8\u30eb\u306e\u30ce\u30eb\u30e0\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u4e00\u822c\u7684\u306a\u70b9\u304c\u3042\u308b\u3068\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-ad4aac8d1ffbf3b22c608d9435b1f218_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(a_x,a_y,a_z) \\qquad \\qquad B(b_x,b_y,b_z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"256\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p> 2 \u70b9\u9593\u306e\u8ddd\u96e2\u306e\u516c\u5f0f\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-62ca9b73f6ae5d7f30dcef0336f46a82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle d(A,B) = \\vert \\vv{AB} \\rvert = \\sqrt{(b_x-a_x)^2+(b_y-a_y)^2+(b_z-a_z)^2}  \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distancia-de-un-punto-a-una-recta\"><\/span>\u70b9\u304b\u3089\u7dda\u307e\u3067\u306e\u8ddd\u96e2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u7a7a\u9593\u5185\u306e\u70b9\u304b\u3089\u7dda\u307e\u3067\u306e\u8ddd\u96e2\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<p class=\"has-text-align-center\">\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-817d216618a06e8ae0cce36c33c1518b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle d(s,r)=d(P,r)=\\cfrac{\\lvert \\vv{QP} \\times \\vv{\\text{v}}_r \\rvert}{\\lvert \\vv{\\text{v}}_r \\rvert} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u91d1\uff1a<\/p>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-74f213a2a0ca1a22659ce06a80bc5d07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{v}}_r \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"23\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u7dda\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\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-aa03a29f511592c1a1ecc8b306b0cf0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2c758bec4c272382411b95fc0e7ee250_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u53f3\u5074\u306e\u70b9\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-42ca8c420951296e93092e708435813a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r,\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u7dda\u4e0a\u306e\u70b9<\/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>\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-fdca087897cc5ad573be7ce2b595dfb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{QP}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"28\" style=\"vertical-align: -4px;\"><\/p>\n<p>2 \u3064\u306e\u70b9\u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u308b\u30d9\u30af\u30c8\u30eb<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-de23c83cb189398d246990817a7e83db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{QP} \\times \\vv{\\text{v}}_r \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u30d9\u30af\u30c8\u30eb\u9593\u306e\u30d9\u30af\u30c8\u30eb\u7a4d\u306e\u4fc2\u6570\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-fdca087897cc5ad573be7ce2b595dfb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{QP}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"28\" style=\"vertical-align: -4px;\"><\/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-50f32076ae1ee85f5b7c5a6d43a03089_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_r\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distancia-entre-dos-rectas\"><\/span> 2\u672c\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>2 \u3064\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u306f\u3001\u305d\u308c\u3089\u306e\u76f8\u5bfe\u4f4d\u7f6e\u306b\u3088\u3063\u3066\u7570\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul id=\"block-14d4b324-92b7-4a1e-8621-c1b0c30f6d2d\">\n<li> 2 \u3064\u306e\u7dda\u304c<strong>\u4e00\u81f4\u3059\u308b<\/strong>\u304b<strong>\u4ea4\u5dee\u3059\u308b<\/strong>\u5834\u5408\u30012 \u3064\u306e\u7dda\u306f (\u5c11\u306a\u304f\u3068\u3082) 1 \u70b9\u3067\u4ea4\u5dee\u3059\u308b\u305f\u3081\u30012 \u3064\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u306f\u30bc\u30ed\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/li>\n<li> 2 \u672c\u306e\u7dda\u304c<strong>\u5e73\u884c<\/strong>\u307e\u305f\u306f<strong>\u4ea4\u5dee\u3057\u3066\u3044\u308b\u5834\u5408\u306f\u3001<\/strong>\u5834\u5408\u306b\u5fdc\u3058\u3066\u516c\u5f0f\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059 (\u4e21\u65b9\u306e\u8aac\u660e\u306f\u4ee5\u4e0b\u3067\u53c2\u7167\u3067\u304d\u307e\u3059)\u3002<\/li>\n<\/ul>\n<h4 class=\"wp-block-heading\"> 2 \u672c\u306e\u5e73\u884c\u7dda\u306e\u9593\u306e\u8ddd\u96e2<\/h4>\n<p>2 \u672c\u306e\u5e73\u884c\u7dda\u306f\u5e38\u306b\u540c\u3058\u8ddd\u96e2\u96e2\u308c\u3066\u3044\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u7a7a\u9593\u5185 (R3) \u306e 2 \u672c\u306e\u5e73\u884c\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u5e73\u9762 (R2) \u3067\u306e\u5834\u5408\u3068\u540c\u3058\u65b9\u6cd5\u3067\u884c\u3044\u307e\u3059\u3002<strong>\u5fc5\u8981\u306a\u306e\u306f\u30012 \u672c\u306e\u7dda\u306e\u3046\u3061\u306e 1 \u3064\u306e\u4e0a\u306e\u70b9\u3092\u53d6\u308a\u3001\u305d\u3053\u306b\u3042\u308b\u8ddd\u96e2\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u3060\u3051\u3067\u3059\u3002\u306f\u3001\u3053\u306e\u70b9\u304b\u3089\u4ed6\u306e\u884c\u307e\u3067\u3067\u3059\u3002<\/strong> <\/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\/distance-entre-un-point-et-une-ligne-en-ligne.webp\" alt=\"\u7a7a\u9593\u5185\u306e 2 \u672c\u306e\u5e73\u884c\u7dda\u306e\u9593\u306e\u8ddd\u96e2\" class=\"wp-image-1960\" width=\"384\" height=\"326\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u30012 \u672c\u306e\u5e73\u884c\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u3092\u6c7a\u5b9a\u3059\u308b\u306b\u306f\u3001\u70b9\u3068\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u306e\u516c\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<h4 class=\"wp-block-heading\">\u4ea4\u5dee\u3059\u308b 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2<\/h4>\n<p>\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>\u4ea4\u5dee\u3059\u308b 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u306e\u516c\u5f0f\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-08ea38a7e09c81439fa1527cd45b3b45_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle 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} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u91d1\uff1a<\/p>\n<ul>\n<li>\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<\/li>\n<li>\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\u9593\u306e\u30d9\u30af\u30c8\u30eb\u7a4d\u306e\u4fc2\u6570\u3067\u3059\u3002<\/li>\n<\/ul>\n<p>\u3053\u3053\u306b\u516c\u5f0f\u304c\u3042\u308a\u307e\u3059\u304c\u3001\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u3092\u6c7a\u5b9a\u3059\u308b\u3053\u3068\u306f\u3001\u601d\u3063\u3066\u3044\u308b\u3088\u308a\u3082\u8907\u96d1\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u7df4\u7fd2\u3057\u305f\u3044\u5834\u5408\u306f\u3001\u6b21\u306e\u30ea\u30f3\u30af\u3067\u3001<a href=\"https:\/\/mathority.org\/ja\/\u6570\u5f0f\u7a7a\u9593\u5185\u306e-2-\u672c\u306e\u4ea4\u5dee\u3059\u308b\u7dda\u306e\u9593\u306e\u8ddd\u96e2\/\">\u4ea4\u5dee\u3059\u308b 2 \u3064\u306e\u7dda\u306e\u9593\u306e\u8ddd\u96e2\u306b\u95a2\u3059\u308b\u4f8b\u3068\u89e3\u6c7a\u6e08\u307f\u306e\u6f14\u7fd2\u3092\u53c2\u7167\u3067\u304d\u307e\u3059\u3002<\/a><\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distancia-de-un-punto-a-un-plano\"><\/span>\u70b9\u304b\u3089\u9762\u307e\u3067\u306e\u8ddd\u96e2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u70b9\u3068\u5e73\u9762\u306e\u4e00\u822c (\u307e\u305f\u306f\u6697\u9ed9\u306e) \u65b9\u7a0b\u5f0f\u304c\u4e0e\u3048\u3089\u308c\u308b\u3068\u3001\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-224b2b4bb57594d3fa92e148ada43cbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x_0,y_0,z_0) \\qquad \\qquad \\pi: \\ Ax+By+Cz+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"379\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u70b9\u304b\u3089\u5e73\u9762\u307e\u3067\u306e\u8ddd\u96e2\u306e\u516c\u5f0f\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-b64bff234dc0303219098438374ed049_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle d(P,\\pi) = \\cfrac{\\lvert A\\cdot x_0+B\\cdot y_0+C\\cdot z_0+D\\rvert}{\\sqrt{A^2+B^2+C^2}} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/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\/distance-dun-point-a-un-plan-de-formule.webp\" alt=\"\u70b9\u304b\u3089\u5e73\u9762\u307e\u3067\u306e\u8ddd\u96e2\u306f\u3069\u308c\u304f\u3089\u3044\u3067\u3059\u304b\" class=\"wp-image-3471\" width=\"416\" height=\"218\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u5f0f\u3092\u9069\u7528\u3057\u3066\u30bc\u30ed\u306b\u7b49\u3057\u3044\u7d50\u679c\u304c\u5f97\u3089\u308c\u305f\u5834\u5408\u3001\u3053\u308c\u306f\u660e\u3089\u304b\u306b\u3001\u70b9\u3068\u5e73\u9762\u306e\u9593\u306e\u8ddd\u96e2\u304c\u30bc\u30ed\u3067\u3042\u308a\u3001\u3057\u305f\u304c\u3063\u3066\u70b9\u306f\u3053\u306e\u5e73\u9762\u306e\u4e00\u90e8\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distancia-entre-dos-planos\"><\/span> 2 \u3064\u306e\u5e73\u9762\u9593\u306e\u8ddd\u96e2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u7a7a\u9593\u5185\u306e 2 \u3064\u306e\u5e73\u9762\u9593\u306e\u8ddd\u96e2\u306f\u3001\u3053\u308c\u3089 2 \u3064\u306e\u5e73\u9762\u9593\u306e\u76f8\u5bfe\u4f4d\u7f6e\u306b\u3088\u3063\u3066\u7570\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li> 2 \u3064\u306e\u5e73\u9762\u304c<strong>\u4ea4\u5dee<\/strong>\u307e\u305f\u306f<strong>\u4e00\u81f4\u3057\u3066<\/strong>\u3044\u308b\u5834\u5408\u3001\u305d\u308c\u3089\u306f\u7279\u5b9a\u306e\u70b9\u3067\u4ea4\u5dee\u3059\u308b\u305f\u3081\u3001\u305d\u308c\u3089\u306e\u9593\u306e\u8ddd\u96e2\u306f\u30bc\u30ed\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/li>\n<li> 2 \u3064\u306e\u5e73\u9762\u304c<strong>\u5e73\u884c\u3067<\/strong>\u3042\u308b\u5834\u5408\u30012 \u3064\u306e\u5e73\u9762\u9593\u306e\u8ddd\u96e2\u306f\u30012 \u3064\u306e\u5e73\u9762\u306e\u4e00\u65b9\u306e\u70b9\u3092\u53d6\u5f97\u3057\u3001\u305d\u306e\u70b9\u3068\u3082\u3046\u4e00\u65b9\u306e\u5e73\u9762\u306e\u9593\u306e\u8ddd\u96e2\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/li>\n<\/ul>\n<h4 class=\"wp-block-heading\"> 2 \u3064\u306e\u5e73\u884c\u306a\u5e73\u9762\u9593\u306e\u8ddd\u96e2<\/h4>\n<p>2 \u3064\u306e\u5e73\u884c\u306a\u5e73\u9762\u306f\u5e38\u306b\u4e92\u3044\u306b\u540c\u3058\u8ddd\u96e2\u306b\u3042\u308b\u305f\u3081\u30012 \u3064\u306e\u5e73\u884c\u306a\u5e73\u9762\u9593\u306e\u8ddd\u96e2\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u30012 \u3064\u306e\u5e73\u9762\u306e\u4e00\u65b9\u306e\u70b9\u3092\u53d6\u5f97\u3057\u3001\u305d\u306e\u70b9\u304b\u3089\u3082\u3046\u4e00\u65b9\u306e\u5e73\u9762\u307e\u3067\u306e\u8ddd\u96e2\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\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\/distance-entre-deux-plans-paralleles.webp\" alt=\"2 \u3064\u306e\u5e73\u884c\u306a\u5e73\u9762\u9593\u306e\u8ddd\u96e2\" class=\"wp-image-2647\" width=\"401\" height=\"234\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u5e73\u884c\u306a\u5e73\u9762\u9593\u306e\u8ddd\u96e2\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u30012 \u3064\u306e\u5e73\u9762\u306e\u3044\u305a\u308c\u304b\u3067\u70b9\u3092\u898b\u3064\u3051\u3066\u3001\u70b9\u3068\u5e73\u9762\u306e\u9593\u306e\u8ddd\u96e2\u306e\u516c\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"angulos-en-el-espacio\"><\/span>\u7a7a\u9593\u306e\u89d2\u5ea6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8ddd\u96e2\u3068\u540c\u69d8\u306b\u3001\u7a7a\u9593\u5185\u306e 2 \u3064\u306e\u5e7e\u4f55\u5b66\u7684\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u9593\u306e\u89d2\u5ea6\u306e\u6c7a\u5b9a\u306f\u3001\u305d\u308c\u3089\u306e\u5e7e\u4f55\u5b66\u7684\u7279\u6027\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002 2 \u672c\u306e\u7dda\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306f\u30012 \u3064\u306e\u5e73\u9762\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3068\u540c\u3058\u3067\u306f\u306a\u3044\u305f\u3081\u3067\u3059\u3002\u4ee5\u4e0b\u306b\u3001\u7dda\u3068\u5e73\u9762\u306e\u9593\u306e\u89d2\u5ea6\u3092\u6c42\u3081\u308b\u516c\u5f0f\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"angulo-entre-dos-rectas\"><\/span> 2\u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u7a7a\u9593\u306e 2 \u672c\u306e\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u3092\u77e5\u308b\u306b\u306f\u3001\u305d\u308c\u3089\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\"> 2 \u3064\u306e\u7570\u306a\u308b\u30e9\u30a4\u30f3\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3092\u8003\u3048\u308b\u3068\u3001\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-5680e9dcd5de0da47d99114178d1e104_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><strong>\u3053\u308c\u3089 2 \u3064\u306e\u7dda\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u306f\u3001<\/strong>\u6b21\u306e\u5f0f\u3067\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-622f3563061ace785425ae6d1982173c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle \\cos(\\alpha) =\\cfrac{\\lvert \\vv{\\text{u}} \\cdot \\vv{\\text{v}}\\rvert}{\\lvert \\vv{\\text{u}} \\rvert \\cdot \\lvert \\vv{\\text{v}} \\rvert} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\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-4501274336c637b37c6332eae5c6c229_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}} \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"16\" style=\"vertical-align: -5px;\"><\/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-9a59cd4f2581db3318d38a2a77340a64_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{v}} \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"15\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\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-cac24ae79c1e4cbc459f01ed5e4f824e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" 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-391ac2e3ba0b7f327ba5a0edc1ba162d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u305d\u308c\u305e\u308c\u3002<\/p>\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u4fc2\u6570\u306e\u516c\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\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-0be5c4e7144d561d9ade79448036d4dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lvert \\vv{\\text{v}} \\rvert = \\sqrt{ \\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<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"angulo-entre-dos-planos\"><\/span> 2 \u3064\u306e\u5e73\u9762\u9593\u306e\u89d2\u5ea6<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\uff12\u3064\u306e\u5e73\u9762\u9593\u306e\u89d2\u5ea6\u306f\u3001\u524d\u8a18\u5e73\u9762\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u306b\u7b49\u3057\u3044\u3002\u3057\u305f\u304c\u3063\u3066\u3001 <strong>2 \u3064\u306e\u5e73\u9762\u9593\u306e\u89d2\u5ea6\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u3001\u305d\u308c\u3089\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u304c\u7b49\u4fa1\u3067\u3042\u308b\u305f\u3081\u3001\u305d\u308c\u3089\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u3092\u8a08\u7b97\u3057\u307e\u3059<\/strong>\u3002<\/p>\n<p> 2 \u3064\u306e\u7570\u306a\u308b\u5e73\u9762\u306e\u4e00\u822c (\u307e\u305f\u306f\u6697\u9ed9\u306e) \u65b9\u7a0b\u5f0f\u3092\u8003\u3048\u308b\u3068\u3001\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-dfa3d7e6f1ece8353327be7c9227d75b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ A_1x+B_1y+C_1z+D_1=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"249\" style=\"vertical-align: -4px;\"><\/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-2c3966346685421fe3e535cf57a5491d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_2 : \\ A_2x+B_2y+C_2z+D_2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"249\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5404\u5e73\u9762\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\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-eb0ca06882e0d61d6f8134368946ef29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}_1=(A_1,B_1,C_1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"133\" 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-22fba6a063a544bdf257e64d8d139238_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}_2=(A_2,B_2,C_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"133\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3053\u308c\u3089 2 \u3064\u306e\u5e73\u9762\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u306f\u3001\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6c7a\u5b9a\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-a0329572a30e8d75bd3795469fe65493_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle \\cos(\\alpha) =\\cfrac{\\lvert \\vv{n}_1 \\cdot \\vv{n}_2\\rvert}{\\lvert \\vv{n}_1 \\rvert \\cdot \\lvert \\vv{n}_2 \\rvert} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"angulo-entre-una-recta-y-un-plano\"><\/span>\u7dda\u3068\u5e73\u9762\u306e\u9593\u306e\u89d2\u5ea6<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u7dda\u3068\u5e73\u9762\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u306f\u3001\u7dda\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3068\u5e73\u9762\u306e\u6cd5\u7dda\u30d9\u30af\u30c8\u30eb\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b 2 \u3064\u306e\u88dc\u89d2\u306e\u3046\u3061\u5c0f\u3055\u3044\u65b9\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u3082\u3057<\/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-391ac2e3ba0b7f327ba5a0edc1ba162d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u76f4\u7dda\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u3067\u3042\u308a\u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-10affe1faee06a5faa4ef6d9c0473b1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u5e73\u9762\u306b\u5782\u76f4\u306a\u30d9\u30af\u30c8\u30eb\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-a3d9337731418dea7088ec8524a171d1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}} = (\\text{v}_x,\\text{v}_y,\\text{v}_z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"114\" style=\"vertical-align: -6px;\"><\/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-ff4913c070cdb4595d69fa08985a1b89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}=(n_x,n_y,n_z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"119\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p>\u7dda\u3068\u5e73\u9762\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u516c\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<\/p>\n<p 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