{"id":218,"date":"2023-07-11T12:27:22","date_gmt":"2023-07-11T12:27:22","guid":{"rendered":"https:\/\/mathority.org\/ko\/%ec%84%b8-%eb%b2%a1%ed%84%b0%ec%9d%98-%ed%98%bc%ed%95%a9-%ea%b3%b1-%eb%98%90%eb%8a%94-%ec%82%bc%ec%a4%91-%ec%8a%a4%ec%b9%bc%eb%9d%bc-%ea%b3%b1%ec%9d%98-%ec%98%88\/"},"modified":"2023-07-11T12:27:22","modified_gmt":"2023-07-11T12:27:22","slug":"%ec%84%b8-%eb%b2%a1%ed%84%b0%ec%9d%98-%ed%98%bc%ed%95%a9-%ea%b3%b1-%eb%98%90%eb%8a%94-%ec%82%bc%ec%a4%91-%ec%8a%a4%ec%b9%bc%eb%9d%bc-%ea%b3%b1%ec%9d%98-%ec%98%88","status":"publish","type":"post","link":"https:\/\/mathority.org\/ko\/%ec%84%b8-%eb%b2%a1%ed%84%b0%ec%9d%98-%ed%98%bc%ed%95%a9-%ea%b3%b1-%eb%98%90%eb%8a%94-%ec%82%bc%ec%a4%91-%ec%8a%a4%ec%b9%bc%eb%9d%bc-%ea%b3%b1%ec%9d%98-%ec%98%88\/","title":{"rendered":"\uc138 \ubca1\ud130\uc758 \ud63c\ud569\uacf1(\ub610\ub294 \uc0bc\uc911\uc810\uacf1)"},"content":{"rendered":"<p>\uc774 \ud398\uc774\uc9c0\uc5d0\uc11c\ub294 \uc138 \ubca1\ud130\uc758 \ud63c\ud569 \uacf1(\ub610\ub294 \uc0bc\uc911 \ub3c4\ud2b8 \uacf1)\uc774 \ubb34\uc5c7\uc778\uc9c0, \uadf8\ub9ac\uace0 \uacc4\uc0b0 \ubc29\ubc95\uc744 \uc124\uba85\ud569\ub2c8\ub2e4. \ub610\ud55c \uc774\ub7ec\ud55c \uc720\ud615\uc758 \ubca1\ud130 \uac04\uc758 \uc5f0\uc0b0\uc5d0 \ub300\ud55c \uc608\uc81c, \uc5f0\uc2b5 \ubc0f \ud574\uacb0\ub41c \ubb38\uc81c\ub3c4 \ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uadf8\ub9ac\uace0, \ud63c\ud569\uc81c\ud488\uc758 \ud2b9\uc131\uacfc \ud65c\uc6a9\ub3c4\ub97c \ud655\uc778\ud558\uc2e4 \uc218 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-producto-mixto-de-tres-vectores\"><\/span> \uc138 \ubca1\ud130\uc758 \ud63c\ud569\uacf1\uc740 \ubb34\uc5c7\uc778\uac00?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\uc0bc\uc911 \ub0b4\uc801<\/strong> \uc774\ub77c\uace0\ub3c4 \ud558\ub294 \uc138 \ubca1\ud130\uc758 <strong>\ud63c\ud569 \uacf1\uc740<\/strong> \ub450 \uac00\uc9c0 \ub2e4\ub978 \uc720\ud615\uc758 \uc5f0\uc0b0, \uc989 <a href=\"https:\/\/mathority.org\/ko\/\u1103\u116e-\u1107\u1166\u11a8\u1110\u1165-\u1100\u1161\u11ab\u110b\u1174-\u1109\u1173\u110f\u1161\u11af\u1105\u1161-\u1100\u1169\u11b8\u110b\u1173\u11af-\u1100\u1168\u1109\u1161\u11ab\u1112\u1161\u11b8\u1102\u1175\u1103\u1161.-\u110b\u1168\u110c\u1166-\u1112\u1162\u1100\u1167\u11af-\u110b\u1167\u11ab\u1109\u1173\u11b8\/\">\ub0b4\uc801<\/a> \uacfc <a href=\"https:\/\/mathority.org\/ko\/\u1103\u116e-\u1107\u1166\u11a8\u1110\u1165\u110b\u1174-\u110b\u116c\u110c\u1165\u11a8-\u1100\u116d\u110e\u1161-\u1109\u116e\u1109\u1175\u11a8-\u110b\u1168-\u1111\u116e\u11af\u110b\u1175-\u110b\u1167\u11ab\u1109\u1173\u11b8\u1106\u116e\u11ab\u110c\u1166\/\">\ubca1\ud130 \uacf1\uc744<\/a> \ud3ec\ud568\ud558\ub294 \uc138 \ubca1\ud130 \uac04\uc758 \uc5f0\uc18d\uc801\uc778 \uacf1\uc148\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \ub450 \ubca1\ud130 \uc5f0\uc0b0\uc758 \uc870\ud569\uc740 \uc2a4\uce7c\ub77c(\uc2e4\uc218)\ub97c \uc81c\uacf5\ud569\ub2c8\ub2e4.<\/p>\n<p> \uad6c\uccb4\uc801\uc73c\ub85c, \ud63c\ud569 \uacf1\uc740 \ub450 \ubca1\ud130\uc758 \ubca1\ud130 \uacf1\uc744 \uacc4\uc0b0\ud55c \ud6c4 \uc138 \ubc88\uc9f8 \ubca1\ud130\uc5d0\uc11c \uc5bb\uc740 \uacb0\uacfc\ub97c \ubca1\ud130\uc801\uc73c\ub85c \uacf1\ud558\ub294 \uac83\uc73c\ub85c \uad6c\uc131\ub429\ub2c8\ub2e4. \uc774\ub807\uac8c \uc791\uc131\ud558\uba74 \ub9e4\uc6b0 \ubcf5\uc7a1\ud574 \ubcf4\uc77c \uc218 \uc788\uc9c0\ub9cc \uc2e4\uc81c\ub85c\ub294 \uadf8\ub807\uac8c \ub9ce\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4. \uc0bc\uc911\uc810 \uacf1\uc758 \uacf5\uc2dd\uc744 \uc0b4\ud3b4\ubcf4\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-7904652c5b12243a6dc713936dba9d6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{\\text{w}}\\bigr] = \\vv{\\text{u}} \\cdot ( \\vv{\\text{v}}\\times \\vv{\\text{w}})\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"163\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> \uacf5\uc2dd\uc5d0\uc11c \ubcfc \uc218 \uc788\ub4ef\uc774 \uc138 \ubca1\ud130\uc758 \ud63c\ud569 \uacf1\uc740 \ub450 \uac1c\uc758 \ub300\uad04\ud638\ub85c \ud45c\uc2dc\ub429\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcomo-calcular-el-producto-mixto-de-tres-vectores\"><\/span> \uc138 \ubca1\ud130\uc758 \ud63c\ud569 \uacf1\uc744 \uacc4\uc0b0\ud558\ub294 \ubc29\ubc95\uc740 \ubb34\uc5c7\uc785\ub2c8\uae4c?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc0bc\uc911 \ub0b4\uc801 \uacf5\uc2dd\uc740 \uc774\uc804 \uc139\uc158\uc5d0\uc11c \ubcf8 \uacf5\uc2dd\uc774\uc9c0\ub9cc, \ub354 \uac04\ub2e8\ud558\uace0 \ube60\ub978 \ub610 \ub2e4\ub978 \ubc29\ubc95\uc774 \uc788\uae30 \ub54c\ubb38\uc5d0 \uc77c\ubc18\uc801\uc73c\ub85c \uc138 \ubca1\ud130\uc758 \ud63c\ud569 \uacf1\uc744 \uacb0\uc815\ud558\ub294 \ub370 \uc0ac\uc6a9\ub418\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4. <\/p>\n<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;\">\n<p style=\"text-align:left\"> \uc784\uc758\uc758 3\uac1c \ubca1\ud130\ub97c \ub2e4\uc74c\uacfc \uac19\uc774 \uc124\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-3d0daa4c1f9e1aff4f64a39f229bc207_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)\\qquad \\vv{\\text{w}}= (\\text{w}_x,\\text{w}_y,\\text{w}_z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"431\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> <strong>\uc138 \ubca1\ud130 \uc0ac\uc774\uc758 \ud63c\ud569 \uacf1\uc744<\/strong> \uacc4\uc0b0\ud558\ub824\uba74 \ubca1\ud130\uc758 \uad6c\uc131\uc694\uc18c\ub85c \ud615\uc131\ub41c 3\u00d73 \ud589\ub82c\uc2dd\uc744 \uac04\ub2e8\ud788 \ud480\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-a3fed933d4d02bb5ca6f5bae06ea544d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{\\text{w}}\\bigr]=\\begin{vmatrix} \\text{u}_x &amp; \\text{u}_y &amp; \\text{u}_z \\\\[1.1ex] \\text{v}_x &amp;\\text{v}_y&amp;\\text{v}_z \\\\[1.1ex] \\text{w}_x &amp; \\text{w}_y &amp; \\text{w}_z \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"188\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<p> \ub530\ub77c\uc11c <span style=\"text-decoration: underline;\">\uc774\uac83\uc774 \uc5b4\ub5bb\uac8c \uacc4\uc0b0\ub418\ub294\uc9c0\uc5d0 \ub300\ud55c \uc608\ub97c<\/span> \ubcfc \uc218 \uc788\uc73c\uba70 \ub2e4\uc74c \uc138 \ubca1\ud130\uc758 \ud63c\ud569 \uacf1\uc744 \ucc3e\uc744 \uc218 \uc788\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-d90f4dd611d93b46a9001a7fe26e03f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}= (1,2,0) \\qquad \\vv{\\text{v}}= (0,-1,3)\\qquad \\vv{\\text{w}}= (-2,4,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"369\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ud63c\ud569 \uacf1\uc744 \uacb0\uc815\ud558\uae30 \uc704\ud574 \ud589\ub82c\uc758 \ud589\uc5d0 \ubca1\ud130\ub97c \ubc30\uce58\ud558\uc5ec 3\ucc28 \ud589\ub82c\uc2dd\uc744 \uad6c\uc131\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-e5341b4a39b42c1284a4b0129b38b61a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{\\text{w}}\\bigr]=\\begin{vmatrix} 1 &amp; 2 &amp; 0 \\\\[1.1ex] 0 &amp; -1 &amp; 3 \\\\[1.1ex] -2 &amp; 4 &amp; 1 \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"180\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \uc774\uc81c \uc6b0\ub9ac\ub294 \ud589\ub82c\uc2dd\uc744 \ud480\uae30\ub9cc \ud558\uba74 \ub429\ub2c8\ub2e4. \uc774\ub97c \uc704\ud574\uc11c\ub294 \uc5b4\ub5a4 \ubc29\ubc95\uc774\ub4e0 \uc0ac\uc6a9\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc774 \uacbd\uc6b0 Sarrus\uc758 \uaddc\uce59\uc744 \uc801\uc6a9\ud569\ub2c8\ub2e4(\uadf8\ub7ec\ub098 \uc774\ub294 \ub367\uc148\uc774\ub098 \ubcf4\uc870 \uc778\uc790\ub85c\ub3c4 \uc218\ud589\ud560 \uc218 \uc788\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-df86565048cf897265878936f2294525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\bigl[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{\\text{w}}\\bigr]&amp; =\\begin{vmatrix} 1 &amp; 2 &amp; 0 \\\\[1.1ex] 0 &amp; -1 &amp; 3 \\\\[1.1ex] -2 &amp; 4 &amp; 1 \\end{vmatrix} \\\\[2ex] &amp;= -1-12+0-0-12-0 \\\\[2ex] &amp; = \\bm{-25} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"166\" width=\"276\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<hr class=\"wp-block-separator has-text-color has-background has-pale-cyan-blue-background-color has-pale-cyan-blue-color is-style-wide\">\n<p> \ub450 \uc808\ucc28\uac00 \ub3d9\uc77c\ud558\ub2e4\ub294 \uac83\uc744 \ubcf4\uc5ec\uc8fc\uae30 \uc704\ud574 \uc815\uc758\ub97c \ud1b5\ud574 \ub3d9\uc77c\ud55c \ubca1\ud130\uc758 \ud63c\ud569 \uacf1\uc744 \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-e4d15d610ca9b4cb39e9f268cfb152ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\bigl[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{\\text{w}}\\bigr] &amp; = \\vv{\\text{u}} \\cdot ( \\vv{\\text{v}}\\times \\vv{\\text{w}})\\\\[2ex] &amp;=(1,2,0) \\cdot \\Bigl( (0,-1,3)\\times (-2,4,1)\\Bigr) \\\\[2ex] &amp; = (1,2,0) \\cdot \\begin{vmatrix} \\vv{i}&amp; \\vv{j}&amp; \\vv{k} \\\\[1.1ex] 0&amp; -1 &amp; 3 \\\\[1.1ex] -2 &amp;4&amp;1 \\end{vmatrix} \\\\[2ex] &amp;=  (1,2,0) \\cdot (-13,-6,-2) \\\\[2ex] &amp; = \\bm{-25} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"262\" width=\"332\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \ubca1\ud130\uc758 \ud589\ub82c\uc2dd\uc744 \ud1b5\ud574 \ud63c\ud569 \uacf1\uc744 \uacc4\uc0b0\ud558\ub294 \uac83\uc774 \ub354 \ube60\ub974\uace0 \uc2e4\uc218\ud560 \uac00\ub2a5\uc131\uc774 \uc801\uae30 \ub54c\ubb38\uc5d0 \uad8c\uc7a5\ub429\ub2c8\ub2e4. \ud558\uc9c0\ub9cc \ubcf4\uc2dc\ub2e4\uc2dc\ud53c \uc5b4\ub5a4 \ubc29\ubc95\uc744 \uc0ac\uc6a9\ud574\ub3c4 \uacb0\uacfc\ub294 \ub3d9\uc77c\ud558\ubbc0\ub85c \uc120\ud638\ud558\ub294 \ubc29\ubc95\uc744 \uc0ac\uc6a9\ud558\uc138\uc694. \ud83d\udc4d <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"interpretacion-geometrica-del-producto-mixto\"><\/span> \ud63c\ud569\uc81c\ud488\uc758 \uae30\ud558\ud559\uc801 \ud574\uc11d<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc138 \ubca1\ud130\uc758 \ud63c\ud569 \uacf1\uc744 \ucc3e\ub294 \ubc29\ubc95\uc744 \uc54c\uac8c \ub418\uba74 \uad81\uae08\ud560 \uac83\uc785\ub2c8\ub2e4. \ud63c\ud569 \uacf1\uc758 \uc6a9\ub3c4\ub294 \ubb34\uc5c7\uc785\ub2c8\uae4c? \uc74c, \uc218\ud559\uc5d0\uc11c\ub294 \ub450 \uac00\uc9c0 \uc8fc\uc694 \uc6a9\ub3c4\uac00 \uc788\uc2b5\ub2c8\ub2e4. \ud3c9\ud589\uc721\uba74\uccb4\uc758 \ubd80\ud53c\ub97c \uacc4\uc0b0\ud558\ub294 \uac83\uacfc \uc0ac\uba74\uccb4\uc758 \ubd80\ud53c\ub97c \uacc4\uc0b0\ud558\ub294 \uac83\uc785\ub2c8\ub2e4.<\/p>\n<p> <strong>\ud3c9\ud589\uc721\uba74\uccb4\uc758 \ubd80\ud53c\ub294<\/strong> \uae30\ud558\ud559\uc801 \uc7a5\uc758 3\ucc28\uc6d0\uc744 \ud45c\uc2dc\ud558\ub294 \ubca1\ud130\uc758 \ud63c\ud569 \uacf1\uc758 \uc808\ub300\uac12\uacfc \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\/exemple-de-produit-mixte-de-trois-vecteurs.webp\" alt=\"\uc138 \ubca1\ud130\uc758 \ud63c\ud569 \uacf1 \ub610\ub294 \uc0bc\uc911 \uc2a4\uce7c\ub77c \uacf1\uc758 \uc608\" class=\"wp-image-999\" width=\"309\" height=\"310\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \ud63c\ud569 \uc0dd\uc131\ubb3c\uc758 \ub610 \ub2e4\ub978 \uc751\uc6a9\uc740 <strong>\uc0ac\uba74\uccb4\uc758 \ubd80\ud53c\ub97c<\/strong> \uacb0\uc815\ud558\ub294 \uac83\uc785\ub2c8\ub2e4. \uae30\ud558\ud559\uc801\uc73c\ub85c \ud63c\ud569 \uc0dd\uc131\ubb3c\uc758 \uc808\ub300\uac12\uc758 6\ubc88\uc9f8 \ubd80\ubd84\uc740 \uc0ac\uba74\uccb4\uc758 \ubd80\ud53c\ub97c \ub098\ud0c0\ub0b4\uae30 \ub54c\ubb38\uc5d0: <\/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\/produit-mixte-de-trois-vecteurs-dans-r3.webp\" alt=\"r3\uc758 \uc138 \ubca1\ud130\uc758 \ud63c\ud569 \uacf1\" class=\"wp-image-1002\" width=\"273\" height=\"327\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-del-producto-mixto-o-triple-producto-escalar\"><\/span> \ud63c\ud569\uc81c\ud488 \ub610\ub294 \uc0bc\uc911\uc810 \uc81c\ud488\uc758 \ud2b9\uc131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ud63c\ud569 \uc81c\ud488 \ub610\ub294 \uc0bc\uc911 \uc2a4\uce7c\ub77c \uc81c\ud488\uc740 \ub2e4\uc74c\uacfc \uac19\uc740 \ud2b9\uc131\uc744 \uac16\uc2b5\ub2c8\ub2e4.<\/p>\n<ul>\n<li> \uc77c\ubc18\uc801\uc73c\ub85c \ud63c\ud569\uacf1 \ubca1\ud130\uc758 <strong>\uc21c\uc11c<\/strong> \uac00 \ubc14\ub00c\uba74 \ubd80\ud638\ub3c4 \ubc14\ub00c\uac8c \ub41c\ub2e4. \ub530\ub77c\uc11c \ud63c\ud569\ub41c \uc81c\ud488 \ubca1\ud130\uc758 \uc21c\uc11c\uac00 \uc911\uc694\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-0ce0eff894cd1fa149c6d8c8ae6f0f03_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{\\text{w}}\\bigr] = -\\bigl[\\vv{\\text{v}},\\vv{\\text{u}},\\vv{\\text{w}}\\bigr] = -\\bigl[\\vv{\\text{u}},\\vv{\\text{w}},\\vv{\\text{v}}\\bigr] = - \\bigl[\\vv{\\text{w}},\\vv{\\text{v}},\\vv{\\text{u}}\\bigr]\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"356\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul>\n<li> \uadf8\ub7ec\ub098 \uc21c\uc11c\ub97c <strong>\uc8fc\uae30\uc801\uc73c\ub85c<\/strong> \ubcc0\uacbd\ud558\uba74 \ubd80\ud638\ub294 \ubcc0\uacbd\ub418\uc9c0 \uc54a\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-7e3f514d940b6d366613f59c6cd8bbba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{\\text{w}}\\bigr] = \\bigl[\\vv{\\text{v}},\\vv{\\text{w}},\\vv{\\text{u}}\\bigr] = \\bigl[\\vv{\\text{w}},\\vv{\\text{u}},\\vv{\\text{v}}\\bigr]\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"229\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul>\n<li> 3\ucc28\uc6d0 \uacf5\uac04(R3)\uc5d0\uc11c 3\uac1c\uc758 <strong>\uc120\ud615 \uc885\uc18d<\/strong> \ub610\ub294 <strong>\ub3d9\uc77c \ud3c9\uba74<\/strong> \ubca1\ud130(\ub3d9\uc77c\ud55c \ud3c9\uba74\uc5d0 \uc18d\ud568)\uc758 \ud63c\ud569 \uacf1\uc740 0\uacfc \uac19\uc2b5\ub2c8\ub2e4. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-productos-mixtos\"><\/span> \ud63c\ud569 \uc81c\ud488 \ubb38\uc81c \ud574\uacb0<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> \uc5f0\uc2b5 1<\/h3>\n<p> 3\uac1c\uc758 \ubca1\ud130\uac00 \uc8fc\uc5b4\uc9c0\uba74:<\/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-e4ea59160804c0287d02cbd1cf01b787_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}= (3,-1,2) \\qquad \\vv{\\text{v}}= (-2,0,1)\\qquad \\vv{\\text{w}}= (5,1,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"383\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc138 \ubca1\ud130\uc758 \ud63c\ud569 \uacf1\uc744 \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-6f6a0d080e09991ca4dc57ff1dd1ab83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{\\text{w}}\\bigr]\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"56\" style=\"vertical-align: -7px;\"><\/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\"> \ud63c\ud569 \uacf1\uc744 \ucc3e\uc73c\ub824\uba74 \ubca1\ud130\uc758 \uc88c\ud45c\ub85c \uad6c\uc131\ub41c \ud589\ub82c\uc2dd\uc744 \ud480\uc5b4\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-549ed90889d541ae4a1075449567b062_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\bigl[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{\\text{w}}\\bigr]&amp; =\\begin{vmatrix} 3 &amp; -1 &amp; 2 \\\\[1.1ex] -2 &amp; 0 &amp; 1 \\\\[1.1ex] 5 &amp; 1 &amp; -1 \\end{vmatrix} \\\\[2ex] &amp;= 0-5-4-0-3+2 \\\\[2ex] &amp; = \\bm{-10} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"166\" width=\"244\" style=\"vertical-align: 0px;\"><\/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> 3\uac1c\uc758 \ubca1\ud130\uac00 \uc8fc\uc5b4\uc9c0\uba74:<\/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-269e213cd1d1e52c2189fe0dc420f93b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}= (7,2,-3) \\qquad \\vv{\\text{v}}= (2,4,9)\\qquad \\vv{\\text{w}}= (4,3,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"369\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc138 \ubca1\ud130 \uc0ac\uc774\uc758 \ud63c\ud569 \uacf1\uc744 \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-6f6a0d080e09991ca4dc57ff1dd1ab83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{\\text{w}}\\bigr]\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"56\" style=\"vertical-align: -7px;\"><\/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\"> \ud63c\ud569 \uacf1\uc744 \ucc3e\uc73c\ub824\uba74 \uc120 \ud615\ud0dc\uc758 \ubca1\ud130\uc758 \ub370\uce74\ub974\ud2b8 \uc88c\ud45c\ub97c \uac16\ub294 \ud589\ub82c\uc2dd\uc744 \ud480\uc5b4\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-29b46155243552a99f6fd75de69f59da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\bigl[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{\\text{w}}\\bigr]&amp; =\\begin{vmatrix} 7 &amp; 2 &amp; -3 \\\\[1.1ex] 2 &amp; 4 &amp; 9 \\\\[1.1ex] 4 &amp; 3 &amp; -1 \\end{vmatrix} \\\\[2ex] &amp;= -28+72-18+48-189+4 \\\\[2ex] &amp; = \\bm{-111} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"166\" width=\"312\" style=\"vertical-align: 0px;\"><\/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> \uc138 \ubcc0\uc774 \ub2e4\uc74c \ubca1\ud130\uc778 \ud3c9\ud589\uc721\uba74\uccb4\uc758 \ubd80\ud53c\ub97c \uacc4\uc0b0\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-897316aad94e2c06a745cc34bdcd2cb6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}= (0,2,5) \\qquad \\vv{\\text{v}}= (-1,6,2)\\qquad \\vv{\\text{w}}= (3,1,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"355\" 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\"> \ud3c9\ud589\uc721\uba74\uccb4\uc758 \ubd80\ud53c\ub294 \ubaa8\uc11c\ub9ac\ub85c \uac16\ub294 3\uac1c\uc758 \ubca1\ud130\ub97c \ud63c\ud569\ud55c \uacf1\uc758 \uc808\ub300\uac12\uacfc \uac19\uc2b5\ub2c8\ub2e4. \ub530\ub77c\uc11c \uba3c\uc800 \ubca1\ud130\uc758 \uc0bc\uc911 \uad50\ucc28 \uacf1\uc744 \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-9718b369a508216fbb69ab68ac7de381_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\bigl[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{\\text{w}}\\bigr]&amp; =\\begin{vmatrix} 0 &amp; 2 &amp; 5 \\\\[1.1ex] -1 &amp; 6 &amp; 2 \\\\[1.1ex] 3 &amp; 1 &amp; 2 \\end{vmatrix} \\\\[2ex] &amp;= 0+12-5-90-0+4 \\\\[2ex] &amp; = -79 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"166\" width=\"263\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \ud3c9\ud589 \uc721\uba74\uccb4\uc758 \ubd80\ud53c\ub294 \ud63c\ud569 \uc81c\ud488 \uacb0\uacfc\uc758 \uc808\ub300 \uac12\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-6074917d7c095bd718364a5ed3081c2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"V= \\lvert -79 \\rvert = \\bm{79}\\ \\mathbf{u}\\bm{^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"145\" 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 4<\/h3>\n<p> \uc815\uc810\uc774 \ub2e4\uc74c \uc810\uc778 \uc0ac\uba74\uccb4\uc758 \ubd80\ud53c\ub97c \uacc4\uc0b0\ud558\uc2ed\uc2dc\uc624. <\/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-4c798eaa40f98c461a076a2bc0aa0910_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(1,0,2) \\qquad B(3,3,2)\\qquad C(5,-1,4)\\qquad D(4,2,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"401\" 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, \uc0ac\uba74\uccb4\uc758 \ubaa8\uc11c\ub9ac\ub97c \ub098\ud0c0\ub0b4\ub294 \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-fe16cd346a46022ffcd90ad080b305ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB}=B-A= (3,3,2)-(1,0,2)=(2,3,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"337\" 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-7bb115ce61905a3f3a5c76dfd152b8f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AC}=C-A= (5,-1,4)-(1,0,2)=(4,-1,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"364\" 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-11697d137db244fd5b7a5f6328181183_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AD}=D-A= (4,2,1)-(1,0,2)=(3,2,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"353\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc0ac\uba74\uccb4\uc758 \ubd80\ud53c\ub294 \ubaa8\uc11c\ub9ac\uc5d0 \ub300\ud574 \uac16\ub294 \ubca1\ud130 3\uac1c\uc758 \ud63c\ud569 \uacf1 \uc808\ub300\uac12\uc758 6\ubd84\uc758 1\uc5d0 \ud574\ub2f9\ud569\ub2c8\ub2e4. \ub530\ub77c\uc11c \uba3c\uc800 \ubc1c\uacac\ub41c \ubca1\ud130\uc758 \ud63c\ud569 \uacf1\uc744 \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-d384e76415a756b834e0a8e7c695b1c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\bigl[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{\\text{w}}\\bigr]&amp; =\\begin{vmatrix} 2 &amp; 3 &amp; 0 \\\\[1.1ex] 4 &amp; -1 &amp; 2 \\\\[1.1ex] 3 &amp; 2 &amp; -1 \\end{vmatrix} \\\\[2ex] &amp;= 2+18+0-0-8+12 \\\\[2ex] &amp; = 24 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"166\" width=\"262\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \uc0ac\uba74\uccb4\uc758 \ubd80\ud53c\ub294 \ud63c\ud569\ub41c \uc81c\ud488\uc758 \uc808\ub300\uac12\uc758 1\/6\uc774 \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-0e1aefc732626b5a6d55a904d03452b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"V= \\cfrac{1}{6} \\cdot \\lvert 24 \\rvert = \\cfrac{24}{6} = \\bm{4} \\ \\mathbf{u}\\bm{^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"189\" style=\"vertical-align: -12px;\"><\/p>\n<\/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 \uc138 \ubca1\ud130\uc758 \ud63c\ud569 \uacf1(\ub610\ub294 \uc0bc\uc911 \ub3c4\ud2b8 \uacf1)\uc774 \ubb34\uc5c7\uc778\uc9c0, \uadf8\ub9ac\uace0 \uacc4\uc0b0 \ubc29\ubc95\uc744 \uc124\uba85\ud569\ub2c8\ub2e4. \ub610\ud55c \uc774\ub7ec\ud55c \uc720\ud615\uc758 \ubca1\ud130 \uac04\uc758 \uc5f0\uc0b0\uc5d0 \ub300\ud55c \uc608\uc81c, \uc5f0\uc2b5 \ubc0f \ud574\uacb0\ub41c \ubb38\uc81c\ub3c4 \ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uadf8\ub9ac\uace0, \ud63c\ud569\uc81c\ud488\uc758 \ud2b9\uc131\uacfc \ud65c\uc6a9\ub3c4\ub97c \ud655\uc778\ud558\uc2e4 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc138 \ubca1\ud130\uc758 \ud63c\ud569\uacf1\uc740 \ubb34\uc5c7\uc778\uac00? \uc0bc\uc911 \ub0b4\uc801 \uc774\ub77c\uace0\ub3c4 \ud558\ub294 \uc138 \ubca1\ud130\uc758 \ud63c\ud569 \uacf1\uc740 \ub450 \uac00\uc9c0 \ub2e4\ub978 \uc720\ud615\uc758 \uc5f0\uc0b0, \uc989 \ub0b4\uc801 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ko\/%ec%84%b8-%eb%b2%a1%ed%84%b0%ec%9d%98-%ed%98%bc%ed%95%a9-%ea%b3%b1-%eb%98%90%eb%8a%94-%ec%82%bc%ec%a4%91-%ec%8a%a4%ec%b9%bc%eb%9d%bc-%ea%b3%b1%ec%9d%98-%ec%98%88\/\"> <span class=\"screen-reader-text\">\uc138 \ubca1\ud130\uc758 \ud63c\ud569\uacf1(\ub610\ub294 \uc0bc\uc911\uc810\uacf1)<\/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-218","post","type-post","status-publish","format-standard","hentry","category-22"],"yoast_head":"<!-- This site is optimized 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