{"id":218,"date":"2023-07-11T08:35:49","date_gmt":"2023-07-11T08:35:49","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%82%92%e6%ad%a3%e8%a6%8f%e5%8c%96%e3%81%99%e3%82%8b%e6%96%b9%e6%b3%95-%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e6%ad%a3%e8%a6%8f%e5%8c%96\/"},"modified":"2023-07-11T08:35:49","modified_gmt":"2023-07-11T08:35:49","slug":"%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%82%92%e6%ad%a3%e8%a6%8f%e5%8c%96%e3%81%99%e3%82%8b%e6%96%b9%e6%b3%95-%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e6%ad%a3%e8%a6%8f%e5%8c%96","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%82%92%e6%ad%a3%e8%a6%8f%e5%8c%96%e3%81%99%e3%82%8b%e6%96%b9%e6%b3%95-%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e6%ad%a3%e8%a6%8f%e5%8c%96\/","title":{"rendered":"\u30d9\u30af\u30c8\u30eb\u3092\u6b63\u898f\u5316\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u6b63\u898f\u5316\u30d9\u30af\u30c8\u30eb\u306e\u610f\u5473\u3068\u30012 \u6b21\u5143\u3068 3 \u6b21\u5143\u306e\u4e21\u65b9\u306e\u3044\u304f\u3064\u304b\u306e\u4f8b\u3092\u4f7f\u7528\u3057\u3066\u30d9\u30af\u30c8\u30eb\u3092\u6b63\u898f\u5316\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u30d9\u30af\u30c8\u30eb\u3092\u6b63\u898f\u5316\u3059\u308b\u305f\u3081\u306e\u30e6\u30fc\u30c6\u30a3\u30ea\u30c6\u30a3\u3082\u3042\u308a\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-significa-normalizar-un-vector\"><\/span>\u30d9\u30af\u30c8\u30eb\u3092\u6b63\u898f\u5316\u3059\u308b\u3068\u306f\u3069\u3046\u3044\u3046\u610f\u5473\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u30d9\u30af\u30c8\u30eb\u3092\u6b63\u898f\u5316\u3059\u308b\u3068\u306f\u3001\u30d9\u30af\u30c8\u30eb\u3092\u65b9\u5411\u3068\u65b9\u5411\u304c\u540c\u3058\u3067\u30e2\u30b8\u30e5\u30fc\u30eb\u304c 1 \u306b\u7b49\u3057\u3044\u30d9\u30af\u30c8\u30eb\u306b\u5909\u63db\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u30d9\u30af\u30c8\u30eb\u3092\u6b63\u898f\u5316\u3059\u308b\u30d7\u30ed\u30bb\u30b9\u306b\u306f\u3001\u65b9\u5411\u3068\u65b9\u5411\u3092\u4fdd\u6301\u3057\u305f\u307e\u307e\u9577\u3055\u3092\u5909\u66f4\u3059\u308b\u3053\u3068\u304c\u542b\u307e\u308c\u307e\u3059\u3002 <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-105\"><\/div>\n<\/div>\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\/normaliser-un-vecteur.webp\" alt=\"\" class=\"wp-image-1096\" width=\"462\" height=\"130\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6b63\u898f\u5316\u3055\u308c\u305f\u30d9\u30af\u30c8\u30eb\u306f\u4e3b\u306b\u65b9\u5411\u3068\u610f\u5473\u3092\u793a\u3059\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3001\u30d9\u30af\u30c8\u30eb\u3092\u6b63\u898f\u5316\u3059\u308b\u3068\u3001<strong>\u5358\u4f4d\u30d9\u30af\u30c8\u30eb<\/strong>\u3082\u540c\u6642\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u3068\u306f\u5927\u304d\u3055\u304c 1 \u306e\u4efb\u610f\u306e\u30d9\u30af\u30c8\u30eb\u3067\u3042\u308b\u305f\u3081\u3067\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-para-normalizar-un-vector\"><\/span>\u30d9\u30af\u30c8\u30eb\u3092\u6b63\u898f\u5316\u3059\u308b\u5f0f<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<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;\">\n<p style=\"text-align:left\"><strong>\u30d9\u30af\u30c8\u30eb\u3092\u6b63\u898f\u5316\u3059\u308b\u306b\u306f\u3001<\/strong>\u30d9\u30af\u30c8\u30eb\u306e\u5404\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u3092\u305d\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u3067\u5206\u5272\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-672f43e570edb18e58ec3fd4fed16aa4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} = \\cfrac{\\vv{\\text{v}}}{\\lvert \\vv{\\text{v}}\\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"55\" 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-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>\u306f\u6b63\u898f\u5316\u3055\u308c\u305f\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-7fe319cb0fecedf2052e6c1e4c856733_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-normalizar-un-vector-en-r2\"><\/span> R2 \u3067\u306e\u30d9\u30af\u30c8\u30eb\u306e\u6b63\u898f\u5316\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4f8b\u3068\u3057\u3066\u3001\u6b21\u306e 2 \u6b21\u5143\u30d9\u30af\u30c8\u30eb\u3092\u6b63\u898f\u5316\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-4f454b949695fc06cf426821d08d44bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}= (4,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u30d9\u30af\u30c8\u30eb\u306e\u4fc2\u6570 (\u307e\u305f\u306f\u632f\u5e45) \u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3084\u308a\u65b9\u3092\u899a\u3048\u3066\u3044\u306a\u3044\u5834\u5408\u306f\u3001\u3053\u3053\u3067<a href=\"https:\/\/mathority.org\/ja\/\u30d8\u3099\u30af\u30c8\u30eb\u5f0f\u306e\u30e2\u30b7\u3099\u30e5\u30fc\u30eb\u306e\u4f8b-\u89e3\u6c7a\u3055\u308c\u305f\u6f14\u7fd2\/\">\u30d9\u30af\u30c8\u30eb\u306e\u5927\u304d\u3055\u306e\u516c\u5f0f\u3092<\/a>\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u305d\u3053\u3067\u3001\u6b21\u306e\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-3f7e5c18e3d72dcd9c628d5326e327c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert  \\vv{\\text{v}} \\rvert = \\sqrt{4^2+3^2} = \\sqrt{25} = 5\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"198\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u30d9\u30af\u30c8\u30eb\u3092\u305d\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u3067\u9664\u7b97\u3057\u3066\u3001\u6b63\u898f\u5316\u3055\u308c\u305f\u30d9\u30af\u30c8\u30eb\u3092\u53d6\u5f97\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-f5d5c0d56d91c40860fef6064998b03a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\vv{\\text{u}} = \\cfrac{\\vv{\\text{v}}}{\\lvert \\vv{\\text{v}}\\rvert} = \\cfrac{(4,3)}{5} = \\left( \\frac{4}{5} , \\frac{3}{5} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"200\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u901a\u5e38\u3001\u30d9\u30af\u30c8\u30eb\u306f\u6b63\u898f\u5316\u3055\u308c\u308b\u3068\u5206\u6570\u306e\u307e\u307e\u306b\u306a\u308a\u307e\u3059\u304c\u3001\u554f\u984c\u306a\u304f\u5c0f\u6570\u306b\u6e21\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-normalizar-un-vector-en-r3\"><\/span> R3 \u3067\u306e\u30d9\u30af\u30c8\u30eb\u306e\u6b63\u898f\u5316\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>\u5225\u306e\u4f8b\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u6b21\u306e 3 \u6b21\u5143\u30d9\u30af\u30c8\u30eb\u3092\u6b63\u898f\u5316\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-248a85e7c4c82cd4b585788acc7a8e16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}= (2,-1,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"102\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u3001\u30d9\u30af\u30c8\u30eb\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-65c38c65791e6029f6af679d3e9a7b6a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert  \\vv{\\text{v}} \\rvert = \\sqrt{2^2+(-1)^2+4^2} = \\sqrt{21}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"236\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u30d9\u30af\u30c8\u30eb\u3092\u30e2\u30b8\u30e5\u30fc\u30eb\u3067\u5272\u3063\u3066\u6b63\u898f\u5316\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-9db02c90bc7fc8aba5e93aae28665263_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\vv{\\text{u}} = \\cfrac{\\vv{\\text{v}}}{\\lvert \\vv{\\text{v}}\\rvert} = \\cfrac{(2,-1,4)}{\\sqrt{21}} = \\left( \\frac{2}{\\sqrt{21}} , \\frac{-1}{\\sqrt{21}} , \\frac{4}{\\sqrt{21}}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"322\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfpara-que-sirve-normalizar-un-vector\"><\/span>\u30d9\u30af\u30c8\u30eb\u3092\u6b63\u898f\u5316\u3059\u308b\u610f\u5473\u306f\u4f55\u3067\u3057\u3087\u3046\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u6b63\u898f\u5316\u306e\u5fdc\u7528\u3092\u898b\u308b\u306e\u306f\u7c21\u5358\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u6b63\u898f\u5316\u3055\u308c\u305f\u30d9\u30af\u30c8\u30eb\u306f\u5206\u6570\u304c\u542b\u307e\u308c\u308b\u3053\u3068\u304c\u591a\u304f\u3001\u5206\u6570\u3092\u6271\u3046\u306e\u304c\u3088\u308a\u96e3\u3057\u3044\u305f\u3081\u3001\u6b63\u898f\u5316\u3055\u308c\u305f\u30d9\u30af\u30c8\u30eb\u306f\u300c\u901a\u5e38\u306e\u300d\u30d9\u30af\u30c8\u30eb\u3088\u308a\u3082\u60aa\u3044\u3068\u3055\u3048\u601d\u308f\u308c\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002<\/p>\n<p>\u305f\u3060\u3057\u3001\u6b63\u898f\u5316\u3055\u308c\u305f\u30d9\u30af\u30c8\u30eb\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u4e00\u90e8\u306e\u30d9\u30af\u30c8\u30eb\u6f14\u7b97\u304c\u5927\u5e45\u306b\u7c21\u7d20\u5316\u3055\u308c\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u9593\u306e\u89d2\u5ea6\u3092\u898b\u3064\u3051\u308b\u306e\u306f\u3001\u4e21\u65b9\u306e\u30d9\u30af\u30c8\u30eb\u306e\u4fc2\u6570 (\u307e\u305f\u306f\u5927\u304d\u3055) \u304c 1 \u306b\u7b49\u3057\u3044\u5834\u5408\u306b\u7c21\u5358\u306b\u306a\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u30012 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u89d2\u5ea6\u306f\u3001\u305d\u306e\u9577\u3055\u3067\u306f\u306a\u304f\u65b9\u5411\u306b\u4f9d\u5b58\u3059\u308b\u305f\u3081\u3001\u6700\u521d\u306b 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u3092\u6b63\u898f\u5316\u3057\u3066\u304b\u3089\u3001\u305d\u308c\u3089\u304c\u5f62\u6210\u3059\u308b\u89d2\u5ea6\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u306f\u5b8c\u5168\u306b\u53ef\u80fd\u3067\u3059\u3002<\/p>\n<p> 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u9593\u306e\u89d2\u5ea6\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u3001\u304a\u3088\u3073\u6b63\u898f\u5316\u3055\u308c\u305f\u30d9\u30af\u30c8\u30eb\u3092\u4f7f\u7528\u3059\u308b\u3068\u8a08\u7b97\u304c\u7c21\u5358\u306b\u306a\u308b\u7406\u7531\u306b\u8208\u5473\u304c\u3042\u308b\u5834\u5408\u306f\u3001 <a href=\"https:\/\/mathority.org\/ja\/2-\u3064\u306e\u30d8\u3099\u30af\u30c8\u30eb\u306e\u9593\u306e\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u306e\u4f8b\u3068\u89e3\u6c7a\u3055\u308c\u305f\u6f14\u7fd2\/\">2 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