{"id":214,"date":"2023-07-11T20:48:25","date_gmt":"2023-07-11T20:48:25","guid":{"rendered":"https:\/\/mathority.org\/ko\/%eb%b2%a1%ed%84%b0-%ec%88%98%ec%8b%9d%ec%9d%98-%eb%aa%a8%eb%93%88-%ec%98%88%ec%a0%9c-%ed%95%b4%ea%b2%b0-%ec%97%b0%ec%8a%b5\/"},"modified":"2023-07-11T20:48:25","modified_gmt":"2023-07-11T20:48:25","slug":"%eb%b2%a1%ed%84%b0-%ec%88%98%ec%8b%9d%ec%9d%98-%eb%aa%a8%eb%93%88-%ec%98%88%ec%a0%9c-%ed%95%b4%ea%b2%b0-%ec%97%b0%ec%8a%b5","status":"publish","type":"post","link":"https:\/\/mathority.org\/ko\/%eb%b2%a1%ed%84%b0-%ec%88%98%ec%8b%9d%ec%9d%98-%eb%aa%a8%eb%93%88-%ec%98%88%ec%a0%9c-%ed%95%b4%ea%b2%b0-%ec%97%b0%ec%8a%b5\/","title":{"rendered":"\ubca1\ud130\uc758 \ubaa8\ub4c8\ub7ec\uc2a4\ub97c \uacc4\uc0b0\ud558\ub294 \ubc29\ubc95"},"content":{"rendered":"<p>\uc774 \ud398\uc774\uc9c0\uc5d0\uc11c\ub294 \ubca1\ud130\uc758 \ud06c\uae30\uc5d0 \ub300\ud55c \uc124\uba85\uacfc \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud558\uc5ec \ubca1\ud130\ub97c \uacc4\uc0b0\ud558\ub294 \ubc29\ubc95\uc744 \ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub610\ud55c \uc6d0\uc810\uacfc \ub05d\uc774\ub77c\ub294 \ub450 \uc9c0\uc810\uc5d0\uc11c \ubaa8\ub4c8\uc744 \ucc3e\ub294 \ubc29\ubc95\uc744 \ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub610\ud55c \ubaa8\ub4c8\ub7ec\uc2a4\uc640 \ubca1\ud130 \ubaa8\ub4c8\ub7ec\uc2a4\uc758 \uc18d\uc131\uc5d0\uc11c \ubca1\ud130\uc758 \uad6c\uc131 \uc694\uc18c\ub97c \uacb0\uc815\ud558\ub294 \ubc29\ubc95\uc744 \uc54c\uc544\ubd05\ub2c8\ub2e4. \uc608\uc81c, \uc5f0\uc2b5\ubb38\uc81c, \ub2e8\uacc4\ubcc4 \ubb38\uc81c\ub97c \ud1b5\ud574 \uc5f0\uc2b5\ud560 \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4. <\/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-es-el-modulo-de-un-vector\"><\/span> \ubca1\ud130\uc758 \uacc4\uc218\ub294 \ubb34\uc5c7\uc785\ub2c8\uae4c?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\ubca1\ud130\uc758 \ud06c\uae30\ub294<\/strong> \uc6d0\uc810\uacfc \ub05d \uc0ac\uc774\uc758 \uac70\ub9ac\ub97c \ub098\ud0c0\ub0c5\ub2c8\ub2e4. \ub530\ub77c\uc11c \ubca1\ud130\uc758 \ud06c\uae30\ub294 \ud574\ub2f9 \ubca1\ud130\uc758 <strong>\uae38\uc774<\/strong> \uc640 \uac19\uc2b5\ub2c8\ub2e4. <\/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\/module-dune-longueur-de-vecteur.webp\" alt=\"\uae38\uc774 \ubca1\ud130\uc758 \uacc4\uc218\" class=\"wp-image-353\" width=\"182\" height=\"179\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-105\"><\/div>\n<\/div>\n<p> \uc704\uc758 \uadf8\ub798\ud53d \ud45c\ud604\uc5d0\uc11c \ubcfc \uc218 \uc788\ub4ef\uc774 \ubca1\ud130\uc758 \ud06c\uae30\ub294 \ubca1\ud130\uc758 \uc591\ucabd\uc5d0 \uc788\ub294 \uc218\uc9c1 \ub9c9\ub300\ub85c \uae30\ud638\ud654\ub429\ub2c8\ub2e4.<\/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-e7513a2086faba37053531b9addea2cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{AB}\\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ubc18\uba74 \ubca1\ud130\uc758 \ubaa8\ub4c8\ub7ec\uc2a4\ub294 <strong>\ubca1\ud130\uc758 \ub178\ub984<\/strong> \uacfc \ub3d9\uc77c\ud558\ubbc0\ub85c \uadf8\ub807\uac8c \uc4f0\uc5ec\uc9c4 \uac83\uc744 \ubcfc \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4. \uc774\uac83\uc774 \ubc14\ub85c \uac01 \uce21\uba74\uc5d0 \ub450 \uac1c\uc758 \uc218\uc9c1 \ub9c9\ub300\uac00 \uc788\ub294 \ubca1\ud130 \ubaa8\ub4c8\uc744 \ub098\ud0c0\ub0b4\ub294 \uc218\ud559\uc790\ub4e4\uc774 \uc788\ub294 \uc774\uc720\uc785\ub2c8\ub2e4. <\/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-fdcec36c9625381e65a49270cd8a2331_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\lvert \\vv{AB}\\rvert\\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"43\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-del-modulo-de-un-vector\"><\/span> \ubca1\ud130\uc758 \uacc4\uc218\uc5d0 \ub300\ud55c \uacf5\uc2dd<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ud3c9\uba74\uc5d0\uc11c \ubca1\ud130\uc758 \ud06c\uae30\ub97c \ucc3e\uc73c\ub824\uba74 \ub2e4\uc74c \uacf5\uc2dd\uc744 \uc801\uc6a9\ud574\uc57c \ud569\ub2c8\ub2e4. <\/p>\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>\ubca1\ud130\uc758 \ud06c\uae30\ub97c<\/strong> \uacb0\uc815\ud558\ub824\uba74 \ud574\ub2f9 \uad6c\uc131 \uc694\uc18c\uc758 \uc81c\uacf1\ud569\uc758 (\uc591\uc218) \uc81c\uacf1\uadfc\uc744 \uacc4\uc0b0\ud574\uc57c \ud569\ub2c8\ub2e4. \uc989, \ub2e4\uc74c\uacfc \uac19\uc740 \ubca1\ud130\uac00 \uc788\ub294 \uacbd\uc6b0:<\/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-d4b2f8c9cdb09377a66fbce8392c30ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} = (\\text{u}_x,\\text{u}_y)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"91\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> \ubaa8\ub4c8\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:<\/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-f63fa0a6f4110553705d4e3d6cf23692_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lvert \\vv{\\text{u}} \\rvert = \\sqrt{ \\text{u}_x^2+\\text{u}_y^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"117\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<\/div>\n<p> \uc608\ub97c \ub4e4\uc5b4, \ub2e4\uc74c \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud558\uc5ec \ub2e4\uc74c \ubca1\ud130\uc758 \ud06c\uae30\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4. <\/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-3e1f083b8e9df80dc493a280f5c20cc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} = (4,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" 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-c93cbb567f755c6f6f5ed9ddd8fce245_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}} \\rvert =\\sqrt{4^2+3^2} = \\sqrt{16+9}=\\sqrt{25} = \\bm{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"285\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calcular-el-modulo-de-un-vector-con-las-coordenadas-de-su-origen-y-su-extremo\"><\/span> \uc6d0\uc810\uacfc \ub05d\uc758 \uc88c\ud45c\ub97c \uc0ac\uc6a9\ud558\uc5ec \ubca1\ud130\uc758 \ud06c\uae30\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4.<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc6b0\ub9ac\ub294 \ubc29\uae08 \ubca1\ud130\uc758 \uad6c\uc131\uc694\uc18c\ub97c \uc54c \ub54c \ubca1\ud130\uc758 \ud06c\uae30\uac00 \uc5b4\ub5bb\uac8c \uacb0\uc815\ub418\ub294\uc9c0 \uc0b4\ud3b4\ubcf4\uc558\uc2b5\ub2c8\ub2e4. \ud558\uc9c0\ub9cc \ubca1\ud130\uac00 \uc2dc\uc791\ud558\ub294 \uc9c0\uc810\uacfc \ub05d\ub098\ub294 \uc9c0\uc810\ub9cc \uc54c\uba74 \uc5b4\ub5bb\uac8c \ub420\uae4c\uc694?<\/p>\n<p> \ub530\ub77c\uc11c \uc6d0\uc810\uacfc \ub05d\uc758 \uc88c\ud45c\uc5d0\uc11c \ubca1\ud130\uc758 \ud06c\uae30\ub97c \uacc4\uc0b0\ud558\ub824\uba74 \ub2e4\uc74c \ub450 \ub2e8\uacc4\ub97c \ub530\ub77c\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<ol style=\"color:#ff6f00; font-weight: bold;>\n<li><span style=\" color:#262626;font-weight:=\"\" normal;\"=\"\">\n<li style=\"margin-bottom:18px\"><span style=\"color:#000000;font-weight: normal;\">\uba3c\uc800 \ubca1\ud130\uc758 \uad6c\uc131 \uc694\uc18c\ub97c \ucc3e\uc2b5\ub2c8\ub2e4. \uc774\ub807\uac8c \ud558\ub824\uba74 \uadf9\uac12\uc5d0\uc11c \uc6d0\uc810\uc744 \ube80 \uac12\uc744 \ube7c\uc57c \ud569\ub2c8\ub2e4.<\/span><\/li>\n<li> <span style=\"color:#000000;font-weight: normal;\">\uadf8\ub7f0 \ub2e4\uc74c \uc774\uc804 \uc139\uc158\uc5d0\uc11c \ubcf8 \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud558\uc5ec \uc5bb\uc740 \ubca1\ud130\uc758 \ubaa8\ub4c8\uc744 \uacc4\uc0b0\ud569\ub2c8\ub2e4.<\/span><\/li>\n<\/ol>\n<p> \uc608\uc81c\ub97c \ud1b5\ud574 \uc774\uac83\uc774 \uc5b4\ub5bb\uac8c \uc218\ud589\ub418\ub294\uc9c0 \uc0b4\ud3b4\ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n<ul>\n<li> \uc810\uc744 \uc6d0\uc810\uc73c\ub85c \ud558\ub294 \ubca1\ud130\uc758 \ud06c\uae30\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4.\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a16d799fdc0fa3c371c35ba5f0f3a3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(2,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<p> \uadf8\ub9ac\uace0 \ub9c8\uc9c0\ub9c9 \ud3ec\uc778\ud2b8\ub85c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a3a744084783890d8d12db98e82e348_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(-1,4).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<p> \uba3c\uc800 \ubca1\ud130\uc758 \uad6c\uc131\uc694\uc18c\ub97c \ucc3e\uc544\uc57c \ud558\ubbc0\ub85c \ub05d\uc810\uc5d0\uc11c \uc6d0\uc810\uc744 \ube80 \uac12\uc744 \ube8d\ub2c8\ub2e4.<\/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-2837e9a238c2d7143e91f36f1bdc953d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB}=B-A=(-1,4)-(2,1)=(-3,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"315\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ubca1\ud130\ub97c \uc54c\uace0 \ub098\uba74 \ubca1\ud130 \ud06c\uae30 \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud558\uc5ec \ud06c\uae30\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4.<\/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-32da93798b33cfd623c145783850b8b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} \\vv{AB} \\end{vmatrix} =\\sqrt{(-3)^2+3^2} = \\sqrt{9+9}=\\sqrt{18}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"295\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> \uadf8\ub9ac\uace0 \uadf8 \uacb0\uacfc\ub294 \uc815\ud655\ud558\uc9c0 \uc54a\uae30 \ub54c\ubb38\uc5d0 \uc81c\uacf1\uadfc\uc73c\ub85c \ub0a8\uaca8\ub461\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-las-componentes-de-un-vector-a-partir-de-su-modulo\"><\/span> \ubaa8\ub4c8\ub7ec\uc2a4\uc5d0\uc11c \ubca1\ud130\uc758 \uad6c\uc131 \uc694\uc18c\ub97c \uacc4\uc0b0\ud558\ub294 \ubc29\ubc95 <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> \uc6b0\ub9ac\ub294 \uad6c\uc131 \uc694\uc18c\uc5d0\uc11c \ubca1\ud130\uc758 \ud06c\uae30\ub97c \ucd94\ucd9c\ud558\ub294 \ubc29\ubc95\uc744 \uc0b4\ud3b4\ubcf4\uc558\uc9c0\ub9cc \uc774 \uacfc\uc815\uc744 \ubc18\ub300\ub85c \ud560 \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4. \uc989, \ubaa8\ub4c8\ub7ec\uc2a4\ub97c \ud1b5\ud574 \ubca1\ud130\uc758 \uad6c\uc131\uc694\uc18c\ub97c \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<p> \ubca1\ud130\uc758 \ud06c\uae30\uc5d0\uc11c \ubca1\ud130\uc758 \uad6c\uc131\uc694\uc18c\ub97c \ucc3e\ub294 \uacfc\uc815\uc744 <strong>\ubca1\ud130 \ubd84\ud574<\/strong> \ub77c\uace0 \ud569\ub2c8\ub2e4. \ub530\ub77c\uc11c \ubca1\ud130\ub97c \ubd84\ud574\ud558\ub824\uba74 \ud06c\uae30\uc640 \uac00\ub85c\ucd95(X\ucd95)\uacfc \uc774\ub8e8\ub294 \uac01\ub3c4\uac00 \ud544\uc694\ud569\ub2c8\ub2e4.<\/p>\n<p> \ub530\ub77c\uc11c \ubca1\ud130\uc758 X \ubc0f Y \uad6c\uc131\uc694\uc18c\ub294 \uc0bc\uac01\ube44\ub97c \uc0ac\uc6a9\ud558\uc5ec \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. <\/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\/decomposition-dun-vecteur-dans-matab.webp\" alt=\"MATLAB\uc5d0\uc11c \ubca1\ud130 \ubd84\ud574\" class=\"wp-image-388\" width=\"390\" height=\"231\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \uc774\ubbf8\uc9c0\uc5d0\uc11c \ubcfc \uc218 \uc788\ub4ef\uc774 \ubca1\ud130\uc758 \ud06c\uae30\ub294 \ud574\ub2f9 \uad6c\uc131\uc694\uc18c\uc640 \ud568\uaed8 \uc9c1\uac01\uc0bc\uac01\ud615\uc744 \ud615\uc131\ud558\ubbc0\ub85c \uc0bc\uac01\ubc95\uc758 \uae30\ubcf8 \uacf5\uc2dd\uc744 \uc801\uc6a9\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<p> \ubca1\ud130\uc758 \ubaa8\ub4c8\ub7ec\uc2a4\uc640 \ub2ec\ub9ac \uc0ac\uc778\uacfc \ucf54\uc0ac\uc778\uc740 \uc74c\uc218 \uac12\uc744 \uac00\uc9c8 \uc218 \uc788\uc73c\ubbc0\ub85c \ubca1\ud130\uc758 \uad6c\uc131 \uc694\uc18c\ub294 \uc74c\uc218\uac00 \ub420 \uc218 \uc788\ub2e4\ub294 \uc810\uc744 \uace0\ub824\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<p> \uc608\ub97c \ub4e4\uc5b4, OX \ucd95\uacfc\uc758 \ud06c\uae30\uc640 \uac01\ub3c4\uac00 \ub2e4\uc74c\uacfc \uac19\uc740 \ubca1\ud130\uc758 \ubca1\ud130 \ubd84\ud574\ub97c \ud480\uc5b4 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/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-3899abb56397b041d612a1fb9d33a70a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}} \\rvert = 10 \\qquad \\alpha = 60\u00ba\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"148\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ubca1\ud130\uc758 \uc218\ud3c9 \uad6c\uc131 \uc694\uc18c\ub294 \ubaa8\ub4c8\uc5d0 \uac01\ub3c4\uc758 \ucf54\uc0ac\uc778\uc744 \uacf1\ud55c \uac83\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/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-e3b237fcbcb6df7294c9b2dd5d7f06cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{u}_x= \\lvert \\vv{\\text{u}}\\rvert \\cdot \\text{cos}(60\u00ba)= 10 \\cdot 0,5 = 5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"241\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uadf8\ub9ac\uace0 \ubca1\ud130\uc758 \uc218\uc9c1 \uad6c\uc131 \uc694\uc18c\ub294 \ubaa8\ub4c8\uc5d0 \uac01\ub3c4\uc758 \uc0ac\uc778\uc744 \uacf1\ud55c \uac83\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/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-b2f9805cff94727a43f3bf53e78e9133_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{u}_y= \\lvert \\vv{\\text{u}}\\rvert \\cdot \\text{sen}(60\u00ba)= 10 \\cdot 0,87 = 8,7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"268\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c \ubca1\ud130\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4. <\/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-8137f59704bc3ee0eabf752d669ce25d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\mathbf{u}}\\bm{ = (5 \\ ,\\ 8,7)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-del-modulo-de-un-vector\"><\/span> \ubca1\ud130\uc758 \ubaa8\ub4c8\ub7ec\uc2a4 \uc18d\uc131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ubaa8\ub4c8\ub7ec\uc2a4(Modulus)\ub294 \ub2e4\uc74c\uacfc \uac19\uc740 \ud2b9\uc9d5\uc744 \uac16\ub294 \ubca1\ud130 \uc5f0\uc0b0\uc758 \ud55c \uc720\ud615\uc785\ub2c8\ub2e4.<\/p>\n<ul>\n<li> \ubca1\ud130\uc758 \ud06c\uae30\ub294 <strong>\uacb0\ucf54 \uc74c\uc218\uc77c \uc218 \uc5c6\uc73c\uba70<\/strong> \ud56d\uc0c1 0\ubcf4\ub2e4 \ud06c\uac70\ub098 \uac19\uc2b5\ub2c8\ub2e4.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-923d73a359ab40f1ffaba643bff0ca98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}} \\rvert \\geq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"50\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc2e4\uc81c\ub85c \ud06c\uae30\uac00 0\uc778 \uc720\uc77c\ud55c \ubca1\ud130\ub294 0 \ubca1\ud130, \uc989 \ubca1\ud130\uc785\ub2c8\ub2e4.<\/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-3fbfff66ff910ebae6196cf59b4251eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}= (0,0) .\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \ubca1\ud130\uc640 \uc2e4\uc218(\ub610\ub294 \uc2a4\uce7c\ub77c)\uc758 \uacf1\uc758 \ud06c\uae30\ub294 \uc2a4\uce7c\ub77c\uc758 \uc808\ub300\uac12\uc5d0 \ubca1\ud130\uc758 \ud06c\uae30\ub97c \uacf1\ud558\ub294 \uac83\uacfc \ub3d9\uc77c\ud569\ub2c8\ub2e4. \ub530\ub77c\uc11c \ub2e4\uc74c\uacfc \uac19\uc740 \ub4f1\uc2dd\uc774 \uc131\ub9bd\ud569\ub2c8\ub2e4.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c814e6a42f23a1c1ab2c413261fa3d16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert k \\cdot \\vv{\\text{u}} \\rvert = \\lvert k  \\rvert \\cdot \\lvert \\vv{\\text{u}} \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"114\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>\uc0bc\uac01 \ubd80\ub4f1\uc2dd\uc774<\/strong> \uac80\uc99d\ub429\ub2c8\ub2e4. \ub450 \ubca1\ud130\uc758 \ud569\uc758 \ubaa8\ub4c8\ub7ec\uc2a4\ub294 \uac1c\ubcc4 \ubaa8\ub4c8\uc758 \ud569\ubcf4\ub2e4 \uc791\uac70\ub098 \uac19\uc2b5\ub2c8\ub2e4.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-63e1eae823666827bce2c51133a8a49b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}}+\\vv{\\text{v}} \\rvert \\leq \\lvert\\vv{\\text{u}} \\rvert+\\lvert\\vv{\\text{v}} \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"131\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \ub610\ud55c \ub450 \ubca1\ud130\uc758 \ud569\uc758 \ud06c\uae30\ub294 \ub2e4\uc74c \ubc29\uc815\uc2dd\uc5d0 \uc758\ud574 \ub0b4\uc801\uacfc \uad00\ub828\ub429\ub2c8\ub2e4. <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a16809d6f89f2053f5c732a7acd486ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}}+\\vv{\\text{v}} \\rvert = \\sqrt{\\lvert \\vv{\\text{u}} \\rvert ^2+\\lvert \\vv{\\text{v}} \\rvert ^2 +2\\cdot \\vv{\\text{u}}\\cdot \\vv{\\text{v}} \\vphantom{\\sqrt{x^2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"242\" style=\"vertical-align: -9px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"vector-unitario\"><\/span> \ub2e8\uc704 \ubca1\ud130<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc218\ud559\uc5d0\uc11c <strong>\ub2e8\uc704 \ubca1\ud130\ub294<\/strong> \ubaa8\ub4c8\ub7ec\uc2a4\uac00 1\uc778 \ubca1\ud130\uc785\ub2c8\ub2e4.<\/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-d377140c532b698d7cdb3b180f2b7e11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}} \\rvert=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"49\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c \ub2e8\uc704 \ubca1\ud130\uc758 \uae38\uc774\ub294 1\ub2e8\uc704\uc785\ub2c8\ub2e4.<\/p>\n<p> \ubca1\ud130\uac00 \uc815\ud655\ud788 1\uc758 \ubaa8\ub4c8\ub7ec\uc2a4\ub97c \uac16\ub294 \uac83\uc740 \ub9e4\uc6b0 \uc5b4\ub824\uc6cc \ubcf4\uc77c \uc218 \uc788\uc9c0\ub9cc \uc2e4\uc81c\ub85c\ub294 \uc774\ub7ec\ud55c \uc720\ud615\uc758 \ubca1\ud130\ub97c \ucc3e\ub294 \uac83\uc774 \uc27d\uc2b5\ub2c8\ub2e4. <\/p>\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\"> \ubca1\ud130\uc758 \ub2e8\uc704 \ubca1\ud130\ub97c \ucc3e\uc73c\ub824\uba74 \uac04\ub2e8\ud788 \ubaa8\ub4c8\ub7ec\uc2a4\ub85c \ub098\ub204\uba74 \ub429\ub2c8\ub2e4.<\/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-1b8ce39ff18883208f914f48d4463051_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_u = \\cfrac{\\vv{\\text{v}}}{\\lvert \\vv{\\text{v}} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"64\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> \uae08<\/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-62e58ce540d042ffd138cfec23ebac58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_u\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> \uc740 \ub2e4\uc74c\uc758 \ub2e8\uc704 \ubca1\ud130\uc785\ub2c8\ub2e4.<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d6a20023310ef9d6c49931c265af1ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}},\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: -4px;\"><\/p>\n<p> \uadf8\ub9ac\uace0<\/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> \ub2f9\uc2e0\uc758 \ubaa8\ub4c8.<\/p>\n<\/div>\n<p> \ub2e8\uc704 \ubca1\ud130\ub294 versor \ub610\ub294 \uc815\uaddc\ud654\ub41c \ubca1\ud130\ub77c\uace0\ub3c4 \ud569\ub2c8\ub2e4.<\/p>\n<p> \ub610\ud55c \ub2e8\uc704 \ubca1\ud130\ub294 \uc6d0\ub798 \ubca1\ud130\uc640 \ub3d9\uc77c\ud55c \ubc29\ud5a5 \ubc0f \ubc29\ud5a5\uc744 \uac16\uc2b5\ub2c8\ub2e4.<\/p>\n<p> \uc608\ub97c \ub4e4\uc5b4, \ub2e4\uc74c \ubca1\ud130\uc758 \ub2e8\uc704 \ubca1\ud130\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4.<\/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-06fc528ca9d541ea032c50af916549a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}=(1,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"86\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ubca1\ud130\ub97c \uc815\uaddc\ud654\ud558\ub824\uba74 \uba3c\uc800 \ud06c\uae30\ub97c \uacc4\uc0b0\ud574\uc57c \ud569\ub2c8\ub2e4.<\/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-86ef7a2aa2d0201e764e4868b473b3e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{v}} \\rvert=\\sqrt{1^2+(-1)^2} = \\sqrt{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"188\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p> \uadf8\ub9ac\uace0 \ub9c8\uc9c0\ub9c9\uc73c\ub85c \uc6d0\ub798 \ubca1\ud130\ub97c \ubaa8\ub4c8\ub7ec\uc2a4\ub85c \ub098\ub204\uc5b4 \ub2e8\uc704 \ubca1\ud130\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4. <\/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-668d60d54811f2fd2be96dd0180563ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\vv{\\text{v}}_u = \\cfrac{\\vv{\\text{v}}}{\\lvert \\vv{\\text{v}} \\rvert} = \\frac{(1,-1)}{\\sqrt{2}}= \\bm{\\left(\\frac{1}{\\sqrt{2}},-\\frac{1}{\\sqrt{2}} \\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"267\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-modulos-de-vectores\"><\/span> \ud574\uacb0 \ubca1\ud130 \ubaa8\ub4c8 \uc5f0\uc2b5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> \uc5f0\uc2b5 1<\/h3>\n<p> \ub2e4\uc74c \ubca1\ud130\uc758 \ud06c\uae30\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4. <\/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-78feb0de1149c92d8000673c3bd9c750_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{a}=(6,8)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \ubca1\ud130\uc758 \ubaa8\ub4c8\uc744 \uacc4\uc0b0\ud558\ub824\uba74 \ub2e4\uc74c \uacf5\uc2dd\uc744 \uc801\uc6a9\ud574\uc57c \ud569\ub2c8\ub2e4. <\/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-2223831dac0e96dc39b2c1f575a96656_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert\\vv{a} \\rvert= \\sqrt{6^2+8^2} =\\sqrt{36+64} = \\sqrt{100} = \\bm{10}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"313\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 2<\/h3>\n<p> \ub2e4\uc74c \ubca1\ud130\ub97c \uac00\uc7a5 \uc9e7\uc740 \uac83\ubd80\ud130 \uae34 \uac83 \uc21c\uc73c\ub85c \uc815\ub82c\ud558\uc138\uc694. <\/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-0cd5b4cce27e3e747335f1b83a27ea14_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{a}=(4,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"86\" 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-9528dc0e7c4fdec1f5ea0897cb5f1080_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{b}=(3,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" 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-d3d0c1b4ab12a00987c3821811108881_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{c}=(5,12)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"79\" 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-9611ddc072acda8752bf9cf38687c790_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{d}=(-6,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"99\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \ubca1\ud130\uc758 \uae38\uc774\ub294 \ud06c\uae30\uc640 \uac19\uc2b5\ub2c8\ub2e4. \ub530\ub77c\uc11c \ubaa8\ub4e0 \ubca1\ud130\uc758 \ubaa8\ub4c8\ub7ec\uc2a4\ub97c \uacc4\uc0b0\ud574\uc57c \ud569\ub2c8\ub2e4. <\/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-f774b05c948e7cc2648508e840bec8d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left|\\vv{a}\\right|= \\sqrt{4^2+(-2)^2} =\\sqrt{16+4} = \\sqrt{20}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"284\" 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-26f7996534e539a7c403a494276e9b43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"|\\vv{b}|= \\sqrt{3^2+1^2} =\\sqrt{9+1} = \\sqrt{10}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"243\" 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-41d80256e32169ae228c30631ed6a7c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix}\\vv{c}\\end{vmatrix}= \\sqrt{5^2+12^2} =\\sqrt{25+144} = \\sqrt{169} = 13\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"331\" style=\"vertical-align: -7px;\"><\/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-b8d50ea2580fbf8d44a19147ea34b730_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"|\\vv{d}| = \\sqrt{(-6)^2+(-3)^2} =\\sqrt{36+9} = \\sqrt{45}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"311\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \uac00\uc7a5 \uc791\uc740 \uae38\uc774(\ub610\ub294 \ubaa8\ub4c8)\uc5d0\uc11c \uac00\uc7a5 \ud070 \uae38\uc774(\ub610\ub294 \ubaa8\ub4c8)\ub85c \uc815\ub82c\ub41c \ubca1\ud130\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4. <\/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-8e3ca300d8666eb94fd4ddd22088e00a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"|\\vv{b}|< \\begin{vmatrix}\\vv{a}\\end{vmatrix} < |\\vv{d}| < \\begin{vmatrix}\\vv{c}\\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"144\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 3<\/h3>\n<p> \uc810\uc774 \uc6d0\uc810\uc778 \ubca1\ud130\uc758 \ud06c\uae30\ub97c \uacb0\uc815\ud569\ub2c8\ub2e4.<\/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-4fa493d9071a18cc176e19c8aeda71e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(-3,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<p> \uadf8\ub9ac\uace0 \ub9c8\uc9c0\ub9c9 \ud3ec\uc778\ud2b8\ub85c <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f7da7d69ba3de7c0a400c5739021b3ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(7,-4).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \ubaa8\ub4c8\uc744 \uacc4\uc0b0\ud558\ub824\uba74 \uba3c\uc800 \ubca1\ud130\ub97c \ucc3e\uc544\uc57c \ud569\ub2c8\ub2e4. \uc774\ub97c \uc704\ud574 \uadf9\uac12\uc5d0\uc11c \uc6d0\uc810\uc744 \ube80 \uac12\uc744 \ube8d\ub2c8\ub2e4.<\/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-237f500f255108fb2f6673bdf1ac0c88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB}=B-A=(7,-4)-(-3,2)=(10,-6)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"337\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ubca1\ud130\ub97c \uc54c\uace0 \ub098\uba74 \ubaa8\ub4c8\ub7ec\uc2a4 \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud558\uc5ec \ubaa8\ub4c8\ub7ec\uc2a4\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4. <\/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-4c92f7a1361051e25fa90e0ed878a676_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} \\vv{AB} \\end{vmatrix} =\\sqrt{10^2+(-6)^2} = \\sqrt{100+36}=\\bm{\\sqrt{136}}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"340\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 4<\/h3>\n<p> \ub2e4\uc74c \ubca1\ud130\ub97c \ubd84\ud574\ud558\uace0 \ud574\ub2f9 \uad6c\uc131\uc694\uc18c\ub97c \ucc3e\uc2b5\ub2c8\ub2e4. <\/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-992e1cdc6a75b8bdfe860c97dc9911e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{a} \\rvert =8 \\qquad \\alpha = 45\u00ba\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"137\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \ubca1\ud130\uc758 \uc218\ud3c9 \uad6c\uc131 \uc694\uc18c\ub294 \ubaa8\ub4c8\uc5d0 \uac01\ub3c4\uc758 \ucf54\uc0ac\uc778\uc744 \uacf1\ud55c \uac83\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/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-33aa199d1341f57e7a85abaa3c261a91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_x= \\lvert \\vv{a}\\rvert \\cdot \\text{cos}(45\u00ba)= 8 \\cdot 0,71 = 5,66\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"267\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uadf8\ub9ac\uace0 \ubca1\ud130\uc758 \uc218\uc9c1 \uad6c\uc131 \uc694\uc18c\ub294 \ubaa8\ub4c8\uc5d0 \uac01\ub3c4\uc758 \uc0ac\uc778\uc744 \uacf1\ud55c \uac83\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/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-269cf4eed12832856838538f0a314aaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_y= \\lvert \\vv{a}\\rvert \\cdot \\text{sen}(45\u00ba)= 8 \\cdot 0,71 = 5,66\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"267\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \ubca1\ud130\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/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-b9a4b542b5e7893c3da383ffa65a133b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\mathbf{u}}\\bm{ = (5,66 \\ ,\\ 5,66)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"132\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc774 \uacbd\uc6b0 \ub450 \uad6c\uc131 \uc694\uc18c\ub294 \ub3d9\uc77c\ud569\ub2c8\ub2e4. \uc989, \ubca1\ud130\uc758 \uacbd\uc0ac\uac01\uc740 45\u00b0\uc785\ub2c8\ub2e4.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> \uc5f0\uc2b5 5<\/h3>\n<p> \ub2e4\uc74c \ubca1\ud130\uc640 \ub3d9\uc77c\ud55c \ubc29\ud5a5 \ubc0f \ubc29\ud5a5\uc744 \uc0ac\uc6a9\ud558\uc9c0\ub9cc \ubaa8\ub4c8 1\uc744 \uc0ac\uc6a9\ud558\uc5ec \ubca1\ud130\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4. <\/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-764894932cc153ee326360c077c75ec9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{a} = (-4,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \ub3d9\uc77c\ud55c \ubc29\ud5a5\uacfc \ub3d9\uc77c\ud55c \ubc29\ud5a5\uc744 \uac00\uc9c0\uc9c0\ub9cc \ubaa8\ub4c8 1\uc744 \uac16\ub294 \ubca1\ud130\ub294 \ub2e8\uc704 \ubca1\ud130\uc785\ub2c8\ub2e4. \uc774\ub97c \uacc4\uc0b0\ud558\uae30 \uc704\ud574 \uba3c\uc800 \ubca1\ud130\uc758 \ubaa8\ub4c8\uc744 \ucc3e\uc2b5\ub2c8\ub2e4.<\/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-d067857f68bb43d3ee3693466272cc36_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{a} \\rvert=\\sqrt{(-4)^2+3^2} = \\sqrt{16+9} = \\sqrt{25} = 5\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"315\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc774\uc81c \uc6d0\ub798 \ubca1\ud130\ub97c \ubaa8\ub4c8\ub7ec\uc2a4\ub85c \ub098\ub204\uc5b4 \ub2e8\uc704 \ubca1\ud130\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4. <\/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-ff7322f3b35f78c5e151f4e7dc59eb98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\vv{a}_u = \\cfrac{\\vv{a}}{\\lvert \\vv{a} \\rvert} = \\frac{(-4,3)}{5}= \\bm{\\left(-\\frac{4}{5},\\frac{3}{5} \\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"238\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 6<\/h3>\n<p> \ub2e4\uc74c \ubca1\ud130\ub97c \ubca1\ud130\uc801\uc73c\ub85c \ubd84\ud574\ud558\uace0 \ud574\ub2f9 \ub2e8\uc704 \ubca1\ud130\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4. <\/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-305f67adc42d0194ae1c8bbca09484a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{a} \\rvert =6 \\qquad \\alpha = 20\u00ba\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"138\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \uba3c\uc800 \ubca1\ud130\ub97c \ubd84\ud574\ud558\uace0 \uc88c\ud45c\ub97c \ucc3e\uc2b5\ub2c8\ub2e4. <\/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-425294f0e8b14e63cf0d59c6fa95f367_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_x= \\lvert \\vv{a}\\rvert \\cdot \\text{cos}(20\u00ba)= 6 \\cdot 0,94 = 5,64\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"267\" 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-2a795bfcb22419526d23f6d0ff419fdc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_y= \\lvert \\vv{a}\\rvert \\cdot \\text{sen}(20\u00ba)= 6 \\cdot 0,34 = 2,05\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"266\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \ubca1\ud130\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/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-abc6fa01a5b562627b05dc37ad7f59d1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{a}= (5,64 \\ ,\\ 2,05)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"135\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc774\uc81c \ubaa8\ub4c8\uc5d0\uc11c \uc5bb\uc740 \ubca1\ud130\ub97c \ub098\ub204\uc5b4 \ub2e8\uc704 \ubca1\ud130\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4.<\/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-287411b8f47ca842a6db2cbe1c9a6ece_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\vv{a}_u = \\cfrac{\\vv{a}}{\\lvert \\vv{a} \\rvert} = \\frac{(5,64 \\ ,\\ 2,05)}{6}= \\bm{(0,94 \\ , \\ 0,34) }\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"318\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub2e8\uc704 \ubca1\ud130\uc758 \uad6c\uc131\uc694\uc18c\ub294 X\ucd95\uacfc \uc774\ub8e8\ub294 \uac01\ub3c4\uc758 \ucf54\uc0ac\uc778 \ubc0f \uc0ac\uc778\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\uc774 \ud398\uc774\uc9c0\uc5d0\uc11c\ub294 \ubca1\ud130\uc758 \ud06c\uae30\uc5d0 \ub300\ud55c \uc124\uba85\uacfc \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud558\uc5ec \ubca1\ud130\ub97c \uacc4\uc0b0\ud558\ub294 \ubc29\ubc95\uc744 \ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub610\ud55c \uc6d0\uc810\uacfc \ub05d\uc774\ub77c\ub294 \ub450 \uc9c0\uc810\uc5d0\uc11c \ubaa8\ub4c8\uc744 \ucc3e\ub294 \ubc29\ubc95\uc744 \ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub610\ud55c \ubaa8\ub4c8\ub7ec\uc2a4\uc640 \ubca1\ud130 \ubaa8\ub4c8\ub7ec\uc2a4\uc758 \uc18d\uc131\uc5d0\uc11c \ubca1\ud130\uc758 \uad6c\uc131 \uc694\uc18c\ub97c \uacb0\uc815\ud558\ub294 \ubc29\ubc95\uc744 \uc54c\uc544\ubd05\ub2c8\ub2e4. \uc608\uc81c, \uc5f0\uc2b5\ubb38\uc81c, \ub2e8\uacc4\ubcc4 \ubb38\uc81c\ub97c \ud1b5\ud574 \uc5f0\uc2b5\ud560 \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4. \ubca1\ud130\uc758 \uacc4\uc218\ub294 \ubb34\uc5c7\uc785\ub2c8\uae4c? \ubca1\ud130\uc758 \ud06c\uae30\ub294 \uc6d0\uc810\uacfc \ub05d \uc0ac\uc774\uc758 \uac70\ub9ac\ub97c \ub098\ud0c0\ub0c5\ub2c8\ub2e4. \ub530\ub77c\uc11c &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ko\/%eb%b2%a1%ed%84%b0-%ec%88%98%ec%8b%9d%ec%9d%98-%eb%aa%a8%eb%93%88-%ec%98%88%ec%a0%9c-%ed%95%b4%ea%b2%b0-%ec%97%b0%ec%8a%b5\/\"> <span class=\"screen-reader-text\">\ubca1\ud130\uc758 \ubaa8\ub4c8\ub7ec\uc2a4\ub97c \uacc4\uc0b0\ud558\ub294 \ubc29\ubc95<\/span> \ub354 \ubcf4\uae30 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[22],"tags":[],"class_list":["post-214","post","type-post","status-publish","format-standard","hentry","category-22"],"yoast_head":"<!-- This site is optimized 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