Ecuacion de la recta
Ecuacion de la recta
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[/img][br][br]La ecuación vectorial de una recta en el espacio se expresa como:[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIsAAAAeCAYAAAAcsu0PAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAjTSURBVHhe7ZoNUFTXFcf/LXUdKhsR/ERjoVHWsbOOFaaCjQlamEhpzKCb4qyT+jGoVMSpX4hVoVowFZOgjBgFBjQZHZwwdmCikMQPjGZNLSDDqgPUYRnLp7rytduUReb1vN2LLLv79u0CAtr9MW/uO2cf8O69597zPxd+xBFw4cIBfsxaFy5EcQWLC4d5gcGih+rjFJx7wEwRtMVpSDivYZaL0ciggyVSGcPuzNGjJDEOJ8croZzFXCJ4L9uIZff+ij9kvzwBY7vvLy9i/XFI4F4svsrurLn4dQmmTZ2M/fFbmAdoPL8Hq24EI+/4cvgwX3+6YdCNgcSDmb30lOMjRRoQ/zl2BjPfCONs30cNOj0MHuMgYWYvg+mP6M7S1PwITS2PBa/yirvGZ57TXoSPslugiBYKFECVuh5vRaaihNnPcVuATet+jvyjWVD3MN8I4nTfhwKDHp0Gdj9QGgqxJfIDROfWM4eJQfeH31kGyh+37eeyTucxy0Rlxjpu4YYvuAZmW1PGHfltJLcwtoB7wjz9ePYtlxgaye3+UsccoxNbfR8SrhzmPsiqZcbAeJKXwC1cEsUdUTGHAzjSn0EFizWV3LGVkfY7eyeTi1wSyUWdFH7m2n4Kpu2XuA5m/18x6GDRcQXbafyWJHPFz5hriHBA4Hajs7kF2vZuZtNO2U52cxsMlqmi4nuUPPVEYKAfc1ijra5FI2XSwHnCz8h/IQPulEM10qmoR0/9pL7qmE0YnvJ9Jz3A7NFHNWqqqJkrR6CbyWOOae4s35+fYxvzaYGowFWf2IH0Bi90VagxVvEnvPvgDPK7/eHXUwNVVzjOmIlYLQnbiFMS/LnwAJabi9cfLiMh4oS1RiHe2XcBB5Yyo5eKLKzYfgshn+Rg63zmG3b0KNy7ByXu41B3vQWBcRvhVXQGZV7+8HlcjtJZ23AxfgF7duioy92KxJ5t+CxaeDHZQn1iPTbktzHLjJkK5J1Wwpdua84nIblEgontZSidtBZ5x0xz1/u9/sqP7f7en7DWNg35SK8IxoHMAHy9dgdOfp4KaVwOPnvzW2xR3kBnTxVq0BcsjU0tJFLn4DXLKsc9FH+7Gko3VO1EJCPfby0uUpB5mz61hlS8B9rQ2MxsO2iLUxGbXeXkSh8LefSHOLDMk9k2uJmJ0x5KXNjTjaSraSg8mgnFkVPIoq+IXbTjGKpQhwXGSRhSBribyjfn4PvNvQtWA0VKXv+K8sE5JN8OQsan4VCnroKquG/uvH/2Os1FG2oe8oJYOFjspiHtzTJIfxcOn556aBrIMUuJnZH8AFPZ6yaBT9hbCDA+aUL7lCJ7+gzhAawog+oHwFcuFw4UnlmvG1+5sV78zMV7aSwyjn+ILCevvWF2AoVQqTQICQ+iQf43+LeQhm3EzoAxdDcGYyWURn8TPPSBMmj0+O52NbVyyH9l8vSiunAZ8xThkEKN0tu0tGb2zZNPRDw2/RLw97O/m9lPQ3ytTtuwRM2nhSJ4iGxTJYkrkPCwb9uzRDDqrbiBpKVp0Ij8vheJoV0PjB+HrsIkhB1V206XjMbiNCQV/Ad+XjpoegKw66AC/pYHHP2oRn7yJVrZ1nRo/oEymuwlfj9lHjPc5VDuCLUTpMI7d29/JDfTEJZ4A77RnyJLOYV9ajrOUC3OsT8vfLCIocmJI3W9jjt2hzkEMFYxa85yGmb3xxmVTuUzVUyDLSGHgmt/4d85kSvoZA5L7uVyUb/P5CpZnzoKErnFu74RreS6tM3ckybr65/pMVxUepnNz55oRY4THKg0vzscRf3Zzp2tZw4jtVzu+sPcNZF5caAa0qPyLuUy0iLz5Mxljx6DgH6wodJ1bbYPoB63QkvNa9IJJtsOnbfO4VBymtPX6Vu00kRRo1JNzUwZ5lnqMIbqy2LUyeZAzvoknSuDb+kVfPXYZAsh8ZoC76nW10R3SvHuE2x+5u01jn23bawrTapynpr3k6Wg6TQH05mL5/51FE8PRoiN6skcB4JFjbuV1JgNiBC+lAfR8Ihe2AZWeqUF5xIO46t2o9Gfdh06qPGZal9X8EgD3sOmaKXT18oA+wNv5CEN7lM+AOYIbP0a1Nw3wJ/vdy9TJ2AivzDuM3vYsKFXbh7HhtxaZvC0ka6kxu8N+JscRlQF5QhZtZhZwogHC5XMpaTQ/eeLiFLCdzY/aPWoe2iy+9Heagwi2WxT1Ndkp+La/I1QTDKa/SFVXgMZ/Ocy2x6ScbZXocgltaspTHRW0KRTuyhQuET+r2X14uFBIhLoGvYzolbw9QVm+kHGL+p20n2nuhETbZ4OJmMaP956HTpNDhjKTiDXoMRqB8ZaNFi0D/itzROLFjkgNGkFBlKwVNlaVW++jxj6EaV5KTgUvwNH2t/HJwLiVV1J+WqSDDJbgTSMVP+LVqWbHAEWlUUfrdDxK3VUMAMrVwfBu+EG0pNTsGXXZcj3xSNkPPvYiAyr40Lhf+8MYuMpHe/dg9jzM7BrX5AxwEVh2kWYZzpxYfWcVu6L2Egu9NAtZlti4Dp4oSYkFo2Q2FpDIi2jitkjSBf1vc3ADFuY3rWfEH/2DbebRGbiFWY7iSYrbnDCvrOVxLCO62KmTfg5dUQwWyCehtxomxcRVn144p0VQcDVIhSaHZH3MQZSPg0IiEUjvNhqkEHxnow5RhA+xY3nz1aE8MM0Eoo1DS3MJjS8Zpti9A8E79kkPmdPZtYA8PCkNGv9rwn94OeUnweH59WEAwLXOaRL12CTTI38PPEDNWv0KMkrBiKUUAxwsIebRYtIEzx+ZKzejDS3oGnSQvx6gLEufXsDtr7t3CQOF0MeLKBVpUjZDJ+/ZyKfP/V1gs7rGUhvWI6DcY7U6KMDacRa7HQrQlJ2OeqqL+NQbj1WH1xLNckrCEtHQ0/VWS425ixX7eifyesvcbv5g6E2Zr9UkBarreSuqWq5Drti4eVG9K/Og4I/dJN4OlSmOvWsixHhxQaLi1eKF6BZXLyquILFhcO4gsWFw7iCxYWDAP8Dq0d+Ngc2EaEAAAAASUVORK5CYII=[/img][br]Donde:[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC4AAAAYCAYAAACFms+HAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAARfSURBVFhHvZd9SFtXGMaf6QwEv9oJqxPnzBDjWq4wK1PH/rDFwsaoW1eZm6XMFktcp2OTzXal7T6YA5ldWadupaBho8WBFCIESteqM2twH1oxbosiUVqNiZ9xSTaMyNm5yRuj+U5Qf5B77vPk5N73nvue95yA7SR6FTvT1MdWSAZHz76ta2H3LCS92JbAX31TQWcb0F9nx482sp4AgfglyG8eEQ+IAvWtbjrzRX27F0+kPo4L9TUuY20QTWWXgfof8EGRy/LBZocjIR4Skm6MP36ENzRF6GguRRp5IjHURsSMaRYz5rmAn8GhEWcfN7pvmtH5dAUUgYKe7kLNkeOoap8iw0NaWQXK5pRo6rKTQzjHfQt5+/0L7JqygxTH+hM7U1LOGjSk/TDfcZYVHChnX2rJ8GLiWi0reL2dDZMWiSk8+C6U4/QUW0DrV5+h6q1yUoC1W4Ne5OH5QKMNO+79NspbAcJzLsebzOJCZM/1oWeIDA5PlSl8972GZJjYLFgwWeBYI71m59qMheVVMtzY0fOzDsgVsD+WLB9GMabnzV4B+YH6ZOUgV2qB9tcJMoBHnccHDzHJm0ynCMHyHZyt0yBJ+hBdJgHnanfj9lUdUvbugXFAB/mmCegKKu1QOhLJcaNrPYlTnRZSnL+UePmgEsgoQ4eywisWObJzgE5+MStkzmvxEU9H9XnvjoHRtt5A0olPce41fqVFDb5o/ReVyks4LNVBt2zH8J+eUYHNDON/QELybjI8CKfb0N99E2qFnCsJyhpuOnW/T9Ai8UiK582sGTMuAzH93VdQmUUqJIPQjhbh8AvApEGsABKU1p5GvljDYuMgkcrwYrHM2dOJaQnzvJE9le7SPoTObzeZGfwa07Mwko6wHApQfF3Jj3xk/+aBx3omXf57behTX0JF2IMgEkZ+ByDCwOOQmBzHWx1GhnkTdNKFwdAAtDyVMgUBKWSFS1QLEIZ0+INXlOxncnwmnT9WHHTixcKogb96CfJz3em1Cuui10JDGBf5giZNWF9Zowp88r7OecPcfRvy2R9ZT/IawG86tWHCruMnv39pxql2A4nNOGz86VN3rS/7UQTO83vEld/5ISYUn5aQ8cjHps2kN7KERbEaZsggF9NtWYOPr66iukpwfruZCUw+ABLlOesVJ4rADRgTB+XZvDDyOx3Zcv5yx/UYI8dDOo4eK0TKtAZXPm9AzYd3IJyvR3Eyfb0Rmx7DPPD9+8TSSdDSHxErFhP7J7xNNWPaFlZyoI5dnyLtjXWJzc/Ygu/R7zaygpKLTGUlzYkqxyXJe5Dovf8MRNFLOJYxgS6VmM9+SNiFlFTf7awHO7pu9SPl0CsoTSCLE11ViQgZKhUlsKpV6LWRFQnjKnTe5+uHIo8MgkZ+2xluqWZHGgdIhYuBtZ88wS7etZH2sIP/OW2s55Na1uAnCP/Y2O+X69g7bQbSm4n6r1t0iAuMA4mPiTumUATvu8OBbx07MDm3A+B/5aBjwkZUfLQAAAAASUVORK5CYII=[/img]es el vector de posición en la recta.[br][img]data:image/png;base64,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[/img]es un vector que señala un punto en la recta (un vector de posición inicial).[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACAAAAAXCAYAAABqBU3hAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIGSURBVEhLY/wPBAwDCJig9ICBkeWAwKgMKAsBqJ4Gtu7YB2Vhgq27DjBISogx1JblQEWoHALPX7xieP7yNU587sIVsBoUAAoBeoDMwtr/sxesgPIQAC0KDjPUO/Uz7ASzZRgyZk1iSFABc2gGUKLgQB3MchB4wjBj0WEom1jwm+Hzi5cMbz/+hvKh4NdXhrfvvkI5qADJAfcZHjyCMmHg0WOGB1AmQfD3PsOa4mKGosnTGLJDYhly1ryEStxkmBEby+AdUsmw4A5UCAkgOUCRIWFBIYM7lAeOgpooBgUojxB4ML+f4Zh9O8PsVn8GE7ZfDGcu3YLKCDBIyXMD6ScM99E9CALglEAxOPu/O2zq/6Mg5vlZ/wMdA//Hzr4HlgGDz9v+Fzrm/p//EMpHAlTKhroM6bNSGayArGPb9zI8A4amh6ciRAoEeMQZpEQ1GNTkoHwkQCUHsDLw8rMC6XMMx478YmBQsWRwkIbIgMGdGwyX1HXBDkQHVHIAFFw4y3DsOwODgrExgxRUCAQu7zrMoOhgC+WhAuo64N17YPAzMKirIgX/3xMMm8+aM4Q4QflogLoOAJbzoFzz+Qssz/9mODNhNQNDXCgwlWAHVK6MvjIc6y1hqNjNwGBio8bA++IJw2fbHIa+cKQQQQO0aRF9+cDw9stPcOoX5oGK4QCjTbKR7gAGBgDtcZXYW0RHPgAAAABJRU5ErkJggg==[/img]es un vector director que indica la dirección de la recta.[br][img]data:image/png;base64,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[/img]es el parámetro que varía a lo largo de la recta.[br][br]Las ecuaciones paramétricas que describen la recta son:[br][br][img]data:image/png;base64,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[/img][br][br]Donde[img]data:image/png;base64,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[/img]son las coordenadas de un punto en la recta, y [img]data:image/png;base64,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[/img] son las componentes del vector director [img]data:image/png;base64,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[/img][br][br]Una forma simétrica de la ecuación de la recta es:[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAL4AAAAlCAYAAAD81VMdAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAlQSURBVHhe7Zt7UFTXHce/1ooSFiGQuATRWYgFRrOOUVKV8UEqBB8zOCZYHCyKr2hBadTGRE2g6wQat6IJLxWYgFgYUzYaNnUQxVS0gzQDynAjA0hZahEBWUR3MWXN9vbcvYf4SKN7V1hX7/38c8/5/c4cLr/7u+d8z7lnh7EESEiIjJ/Rq4SEqJASX0KUSIkvIUqkxJcQJVLiS4gSKfElRMljJb5Jdw75qfuwp+gC9KZOlKXvQ0p6OdrNtIFQTG04k5uFlFQNqq/fQfuJHKR8lIOyq9Tv4BhqNNjzwP0a6qtQbcv9m/l47iliYKAmzlZd0Xi37uAY6kuR9kM8+lB5vAp6i0c4g9kXh+2J30wecqk73tq6GSHXMrAk+hAwT4lbFbnI/zttIwgditTlkC2Nw46QLqTErEc+5uAV43kk51bRNg5MYxHSL05DpF8Dkj4th8liZJCXqMZXjZaKAPpQlvoFRq6YCVPBPhTW81bD8SxszKvhHzgZaJiKC2gyWlyOR3MRtqdWwYg2aN7dive3ZaJpwgx4UrcgBrMvis2JX3nyBkLWK+FKyibzbYz8ZSjC3UbCe0oEQqbxbQRxvgLd82IR5EbKJGsMw4MQMt8do8cqsfoNJd+GYGq+gDO1nTSxHAfmdB+CV41BXa0OCsU4OHHGKwyqewKgvHv71tFzFo0vLUDI1QbUmcfBezxvrrnIwHViIBQ3zyFFdQ6u0/zQnpWMfMEvlh3wWoy92Srs+EAF1XIfeM+PR2wA9QnlYX3ZOAAMwpdbBmmRSdDHHYXqV9REYTT78FUDrfwE/m9uRuREWqEwn6zGup5VqNo1m1p4mnKTof1FPBLGlyOxQI6dSbMtL57DYCzFlohSTM5OQ+wE8vJqkxBW7IuCw7HwJ26h8bg/Dnyc29cexfKW1cjzScfeCBegNgfLjgbiyAOxchSaDqtxwpc8s1nkXgeo1yLl6D9p5ScIXIgdkfe/KT/qixsA1J2I3h6K1qxMtC7eaf3LxSW+TfQb2Vv95NpVwsa//j5b3MWbWYOR5czCMbG3ek3keoMtjl/Cxh+5wZu/J/1xHRpOse/9OputsxiNbMmWTWzeZUvFcSj9iJ3+1sA9suzfPlzChu6uoTWhtLD7f7OE3Vxi5KuXC9kYGmeu38TTvNliX1nI6mjVcTCxjZ/tZfMucc+UQJ7jLQNfFM7/76suc9Xd+FzMZqM+PMuXrcBGqdOIAzExWKQmC4yvz6N6bAAmv0jMZh0OqEvQzjcSBJO1HmFRGai8fhZn6uV4ZYq7xd6Um4miK6TQ0YV2Zxc6wrtgtEsbdJzdgWi91gkE+MKibMxE5hBtPm3yVItPOJ3o6ZDDP4Af3QwMg6aBOD8FNOUm4oBxJoK9iCglcqQyXY2DDHUK5Kf60nf0wlVGR39ydbryb7TytUdiY+I7YZRMjtfHNiCtzQ+RZBrWHivFAVUxXlgeDQVtJQRXZxkUM+WoS2+D/3yiZ0tKoTmoRqH7UotseBpQzJ4DZeNppB0jC//fqqEh+j7IlvWOBSWC5/bjTKEGGqLj1+U2wlU52SKZHB3D11nQeL6NnbNb8KfoGMyY/zvkucXi9zNpAwEMZl/3QUd+GyDSRE+nGa58zVaJc5f+3hts//cD5Q5eSg3wwJR+33TvEJhY3cUGtptIwG4SC13hFnb6umL2KvUKpquBrWsxWeLQ3XueTV4YxSaf4126nE13pWBlJrtQwBRvD/p778kFLh42S5yH9/U4ku/pOZZsPoekSAbhx+IQjF5oNibC+A6/iHw0vShL3I6D9f20biXOgVi/dxvCrZEXFWrMUOkQu38/NniRe12TB9etn9k4MrUhf00CDnjF4WwyWbjlJiCeCcWhTyPgzbmNVdizqwUhW+ZAn5sD/TIVoq2eFYlMfXs3TvbQqrV4hEKVHc3LOAeBi8se113IiCKy+HwWFpUqcdzKRb7NiW8w9tGS/bjy+R+heX4lYl+qRGq5Ats3B0FG7D/ovIdgutkJw3e0Yi1OMnh6PLpvDsPlYqhS6jH+NXc01/Zi0oo4RE95jnqF803meyjGa3j1Vi3+MSKM/K9z4TWcOjnMt9Gj74OT+4uQWfZOrYsDh6mHxELofrCzBzzdRtDKw7FbbvRVI2N3K2ZtDEZPwSH0vLkdkX7WxcHmxA+LiKElIpfo1S6Q2+X+3rBhw/g6oVx7mJaeHE8sHvfgCHHgGIiFfeJA8oFPCAxkhDVxkH6BJSFKRJL4fajMy8YZwWdm5Ah5JxrBnJ4aKkx90OsaUa0zwXfWDPgP5d+yoIM29Ut8K1T2OSsRvTXUph07R0Q0I75NGp+sIFy9XPjjB0NFB4OyI/lI0npAdWonwu/V8UOETRpfwHrnaUCSOg5Aa14CltWE4nhGxGMdvJKwnsc6liwxGPSh7ts2KJRKKentyJMZ8blz9wVaVN4cgzeWz8Do7+Tw97Vuq+zZowopYZ8Aa9dCdpmByW8uVkVNhacdJI9DMpAbHf2QvboUGxb5DInUtP+I36jFxjVF6F8chx2bfHByTQJWFNRQpwipZVBtHoF28zhs+ID/bUP8QUc8Zzz0mOqLsC4mB93z1mHHspfRlKVGUTN1DjL2TXwzg7TEfPQvWMl/DXXygbcXEBQYyPtFSOtFBu0Tl0IVHWAZ2V5wk6H1mxqrD1s9M3Bfo3dq4b1+GyK52d9kBCaFItiX+gcZ+yZ+RSmKrgcgPEzO140M6nQ+CJrGn8QUHz/W9426NkAmc6zfGdgB/fESaE3TET6X7hxNjEaGOgL+QyT57Jr4rS3koXr4IWDg7EsNg0rnQPhPuAPDzTvUKCa60KMHJgcODGsXwNQCyuDpolvoMpeIvCMzv9JOaxu7Jr7nmOct56b50awPZScvAFP8EVxfiPQT9j/78+QhU/pwOTyI3OMwnChFmWwBEqLojCgiFON9gFEj7pvp2rU50AyRxh/+BwItDzkjJyjw81MlqL7zX9R9UYb/jJNDd6kb+nYWQStnQzGkX4ockdF42bUeB7/8F57rLMXHf3XDuxkbEORM3SLC3V+O25rPcbpvBG43V+Evf9biyqRYrJg6irYYXJ7Idqappxdwc4cTmda4L6r9znK4ii7p78HYC73ZxerTj88ylq/Kw60/CWor0pdbCVFi/318CQkHQEp8CVEiJb6EKJESX0KUSIkvIUKA/wEXxN6NsIAKKgAAAABJRU5ErkJggg==[/img][br]
Ecuacion del plano
Ecuacion del plano en el espacio
La ecuación general de un plano en el espacio es:[br][br][img]data:image/png;base64,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[/img][br][br]Donde:[br][br][img]data:image/png;base64,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[/img]son coeficientes que definen un vector normal al plano.[br][img]data:image/png;base64,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[/img]es una constante que depende de la posición del plano en relación con el origen.[br][br]La ecuación del plano también puede expresarse en forma paramétrica como:[br][br][img]data:image/png;base64,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[/img][br][br]Donde:[br][br][img]data:image/png;base64,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[/img]es el vector de posición en el plano.[br][img]data:image/png;base64,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[/img]es un vector que señala un punto en el plano.[br][img]data:image/png;base64,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[/img]son dos vectores no colineales que están en el plano.[br][img]data:image/png;base64,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[/img]son parámetros que varían a lo largo del plano.[br][br]Las ecuaciones paramétricas del plano son:[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKsAAABZCAYAAABBstQLAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABhiSURBVHhe7Z0NVFTXtcf/fcZJjFgJ1mARDcQErH3jssqLwIsGfVi1rNJqsFosRq1fRDQRDYJYKHn4hV9RI35AAolPooVoxKqoiCg6YArGMo0BYgRTJKCi4AyxjGXdt8+dMzDAMF8MyLT3t9Z15pw74+xz775n732G+58fCAQkJOyA/+CPEhI9HslZJewGyVkl7AbJWSXsBslZJbqIx9Co+VMbITmrrWlqgMrGJ6m70dQ38GfWo0iYj/HTEpDL27ZAclZbU34MSxPyeMMeKUfaW7s76WRXobhADu85HHLeYwskZ5WwPdeKoHgEuMnlGMC7bIH1zqppQG11DWrrH/MO6rpP7eoGaHj7SaO1pw6aJl0Ht9lOwrSmntlP230DYZnSjbbHv6dQW3oTVZDBa6Q779FDZ3fbc6CuMzkWq77Bqspch/BjGox0l6G8SAkERiDo2yQcbPCAu0qJwkGLcCjWG/3467udeiX2RiaiyIns+UcZsm65IzrCFcffK8KAEQ4oz3+AiTt2Yu5L/PW25EICvM/5oODdcbzDCppqkBkThV3fDsEET0fgYRkK8TreT/CHC9tfn4f1oem4N6IvKnIq4RW7F2te6yu+lYXx1N+vxN6Bb+LiRn9yGUspwPpJF+F7NgJ+vMcsHmUjMiDRYPowee0RxE2kJ/UF2BKehqpBvVH6+QNMePdDrPKhfjW9dxp7rzc2ZtHn9hLf1o6n+KP55CcisnA8kj4YJzqj6mgUJu2KhyowDocWlCNsbh5qb1xEEX1wx4Otw2k6GfuuN/K2mfQZjsXbIjB5IG8bpAYZMal45u09SPJkbSVk02IRGy3Hmoyt+NG+EIQ/opkqr5Kc1VV8h03RzeKdQLkvCuvv/gJHDgSJzqlMDEVWRibOfOuPuUMbkLs1HQ4RO7FmcCbCclJRWFwJvCYOFriRj5xyCsGvDLPCURmP0WjNGPr4Y2OOPz25ii0B8chwn4sT7wfqpQHM7jTIlu3ENmb3zFQUf0mG+tDs28cZLuycVleigrrQwSRiYRpQh4yD32DKYq2jMipu1dC/zvCbSqn0Iw0ae8ngEeCPMdrdHeCICSv/iKT3N1i27VhqwlGJ/E+RNmgG5vJzB3Ulqurp8ZVxCOxPKYqmN2ROcgSO6wJHtQnluJxfRyewLz/GFDbJfhcvf/gNpebdc8i474/Zo2iiyC+iGReQ/1Q3WArBFOnKOgrB3UFH+aoBu91f5Db2kmN5xFS49HKFm5FoZ3EawJY1ZP11IYecN2w+tpT7Y9uJN+HLe58olJeqQCdaN61QJJgUnQ3PxR/i/ZkUUg1xOxvr40/h4WAnaG4DXssiEDyiN99piDrkJqZAcZ839alWIvOuMwLlz/MOfeiifjsYvg68aZBKCuPLsZfNMH0c4eZOF9aceQh+hdvOlsYe0fgcdMd+HLZlroAvD525MdMReYmiSGYcAo18Tu2FVOzLe8Bb+txBYU4NXCbKtSlHG1z+ZxHm+ujOf3tqD0chYF85gtYd0oZ4Hc121yBtUSh23m5tN+7SbBsHxLWajdvAnNVqVCeFFROmCWP/cJF39DyKt88Txk5YJqR8zTvaUSLs+c08YccXvFlHY5ocIxxT8XYHNNZVC/e+M7AdiRfGrj5peN93aqGRv98YD/N2CyGT6biyYytuvxPW5ar5Xs6dY8JS2ue/Pp93MIqFHa/T6+cfFMp5T4c0qg3Yx7aTwuoJ8UK6wX3VwkOjA1ALx8KZvfFC1j95V1sM2k2c2ySEJN3kDcN0bulKWU4ZIc1EP9VbTTNrUbwBipTtNJtZuqVBYVElX4fSGyykDoeHXnhh0aF5xSL/HD69OxwjKTyJ9Kfng5Q4c4LeZwRZf2cMGGRg608zsszB8L5BfU3kkY9RkV+ACs838XHWEVzMoPwu2JNmmgZknrvKX6NFF0rH/Mxb28G4QcUtzfYuFILdqGl0cV/W14B9bHPA0+iNHxnc59wSsQxSirISehghh5duxqQqX6W3PGTQbja+rEpM9DOeuljmrE2UPAdNhzdVbuwDlVcKKeQ64z9HtYTXqsMxiDJxokFh2mt6MBYvsHT7FbyMhlD6/IwojJ84HWEZZIM6H4rr1DnKoyVFaaKKdNFHov2Mii9LoBpKuRJvA8/DieJQYQk76t1LbUYMZkUnYOEu7ZcKMidX+C6Yi18OAjzIRn1q77AQ7orheheh6jo5Cz3KR9LkoT6FyOhzqNXu6h7a5asU8iM34TSrGTiG7MbtUziDQLxuJF9lWOas+ReQyfI0J0f8qEmJ86wQoKvwmea8Ixs7/zwMwUEd5IZ6dDgzGd1MzUw1yD1TSrNmX6oue0OVUwAF6+71tLiXzVxl+9JQNf31ZufVNLVd2+uLH7KUrF1/16NS0UzY3xOrZrcse6lyjuF4/RjMntF61unXjxmpxkNdpKlXYt8RFudc4U6FGBu7xndsx/lfV1D/AFX04Pmy1tay5AScH7UIQXpF8YAfP0f/6tndRLn3jnx4LfI3udTZ648Ef24apx/gu9NfQubWF9c+OYdnFyzH+NtnkH65FLf+eg4fH23E9M1vYpyJ2a/rcEC/us9xutoZ7vdP4+NvfBA35xlc+zQPVyq+huJPR6B4ORSbf/sCdNdXac7/4fRdTwT9Wg7dJVZx/jCy4YMFE17gPRZQfhnJFUOseq/ji8+hLvscTv71K3xztQjZf0rCzot9MG9jDAIH8xdxnv3JMDyVn4WU80rc+SoXHx+4Dq/f/wKa/IsovnUdp7/yxDsRPhhgcaL3LXI/qoT7G/+tF23MZIgLnrp0BtnXb+BW3jGceGoGtoXJKa1o4elhbnD820WkHL+IirLrOJ72ZzT95l28OcqMhTaeu5rPP7WJuX6i3VhLyXdtmwLgCSIWP/r28GLCUHFQnrRMGPtG64Ikaw0VCdYWjVQodLbgbC7e6jS8p2PEY69fuIljfSA0dlTgmOSiEDNhk3CetyxHIzxktptZoBov2FpjeYHVS5uY6yfaMicK0U4dL2d0N2KKoW8PLyYMFQdurs6UM1WigrfZOud3t6l/sJXrsENfRODLnVvDbU6RWLFmAvHY66dH4lgdIdOFDotxhefEFy2fVZvpjX7MdhPRVTdG4wVbazq3GvCvwKtj4YcHuHeXt5tqUHXXEX7jrFxUfykIa0KsfG+PwB3Ba4M64axdh+SsDv5YshjIZMti5eU4TY9VQX/AkhF8v0SPweJvsP5V0dRXovTaHTw9Sg4PM8KvRPcjOauE3SClARJ2g+SsEnaD5KwSdoPkrBJ2g+SsEnaD5KwSdoPkrBJ2g+SsEnaD5KwSdoPkrBJ2g+SsEnaD5KwSNkWjNnKTYieRnNVG2EIm8knS6o5fa8lPxLTAEKy/wNs2RnJWm2ALmcgni2JrFNJu8IaVKPIuohae8OiivwWWnFXCRihR+DnNzYM9MdKUxJOVWOesTJ6wuqaVeEHP4TFUHclE2gP82BqWDu3BY7tbjrL7QD/5SHjwrha43W0lLZkEqQVjsdhZVZcSMeet7dgXH4VJMxOQq6+QciMNcyZNR2TWE9IMbSpHxsqVCN+VjBUhIZiTwgSjdDQgNy4E3sGpohCEbalB1W3+1GoaUJi4EpPm/i92Jqdh364YzApJglKn6EdjSw1d3kVjq0SFVfY/RmbEdHhPpG1mqigcosqK17ZjuPp38zlJxNKgEIRlMCE/Rin20jgCgqKQamb6YZmzqvOwJaU33tkfh8XjnIH6EhR/y/cRFbkFKGtyhMsg46Jmp2NCMT1ovmVbSAJO627q64CKlO1QvLYBSeumYiS1y776pmV2arqK85foKv6xM37Mu2yHlTKReqhOJCDshCviDm9F3NoVmOvrBFSfwvFL2v1sbMVTtxgfm7urgVnNHGhyscr+3ghMOIKCnCPYNoXdpuqJVYe1bZ0+bcs5+RW8ZBoUFusuJ/KTF9gdyJUo1/MhY1jkrLUnTqL25zMg79WAy5+XAr2GwI3JMIrUofBaJfUNB1Ov6Ziukru8ioyzwxEUSAdAJ2PjNqTlFuXPlVDQCfH4yXCt8ke9EqmRdMVHb0dk6EpsuWBK8qhrUSiUQJ+nm+3V3KeQ5T4VfqJ2aPuxeXjo6a/ysXmN9OId3U1H+aoBu5tlkJwRGBMMX6YgY0I2SIdFYsIDAtZiWx/64LuZOPMFdbzq3yKr2KSEkvyXeeoYE/esi/eM9+cNmyHH4v1y0REVZ86hig7Ckp+36JaKmlZ0ofzSi90m3YDMdetQ/OoH2MYOJNm+Mzgcewd+aPSuVmMykUpKBWrjaRbhPfqYkolkPM087342wgLy4TL0Rfj9aikO7XflDtl2bO5YPrXldm/d2DyYSrYxrmdi/ZFveEOf71Fy9w6QvB1VBu73l/3s11gVYOT2cl2+OqVtvqpn96n2dsOBiQgPJwfmbVOwGwYt5d6hSFGKMeYc72Aodgv+1GdKtrDrKRI2/2JaG5WVB0L6Uurz3yScZ0olouxiaxnM83+YJvhvKuKtDugSmUhOyTFhBZOrFCUutVvIh22PJR/bwnThNu9plplkY+M9HcLVdNpvRcKO3y0RdlwxtI82E+oqD4/FiPauPsU72mHIbuLrg0KIBeo1lsu006wkpgAYA9/XtD0M7dUtw+SfmhJ4YHKX+5FrcUJvjhAvoUsBfHxahBp0sz77qRs26ytLqBhwRZBe+Bng5AgV9VdgdMcCD6LaiaEZUk8mkvdYQq2yAKUOU7EtIxDsRy8qLn2EmPco/7+Qj4p57i326MY2ZkyL0C/lq0XF9MgiGj2IX07070DATlTTMWT/9/hhL6ozRHUX3mUByhLx4MJLJ3fOfuRCLWtRlDFkN6E8kwd3vz28ZRorlq7u4D7TURzqDs/mcN+A4q9YvjoaXq/wrg7pOrlLkfutlexEyAlZVe0xiksxatqvVvRzoP+8k0WSVRSx1ZUEhMelixJGLEXyCFiBeezED6WaQHwRx9jYxFxcib1vtch5dg/t89Wqw/GIPau3JGXI7qYCHC8aiyD2wxhmYoWzPgd2XqFmcuhaVDm7sY/lsLqZywTNWk4WbabkLjl9HMQcSaX7jpot+ew6RQdLhpF81q+tt0iRuGtRq1HbyxlBdDE2O2ZpOg4WuWKunvSlSLux1SDjAMsFuT7/tQIUeo7uZrn8BqiZ/qr7MG2+WpqG2Fw5lk/Ty58HPS+OrdluPEbhe+nAHCrWeY85WCZ5KfIMRgxrwpXMTGR/UYWyc58g+cwtfPfoMTwmhWD2aKa/+QQZMgJDK84jJasAf79RiLT9n+Fa7T+gEv4Lc1b/N9zo8nz2zlUkXwT89WQd7/wlE0crX2glfWk+nZOJdCzOwdGCv+GW8hry/vwJNn5SCe/oDVg+us3l2WZsn36QDfx2JkYo/wLFN9eRW9CEN9bOhNsz/PVmU4drnxUA46dilBPvMhtXOGsu4+ilr8kmBdKynsK8zfMxqg/fzRj4MlzuKfDx4TNQcunRInkY4gMM/e6CEXjuajm6ZL1OIxTvZrr984Q9X/J9PQCtpOIDejwrrPan5P6ds8JDvk8oSRFmsgLrFm8TrMAau+Ysb1lKZ2UiCdUD7fE0Qzq0eWw6WUsDMqSWcVNIecPY7y6Ypp3MqCF0YzRRsHWEhWlAOdIWzYL3pChk3NfKSA5wKMJxJss+4tcIfMJiZqoL2zF90nQEbFXyVMMR906cQm5TXwRN01NW9vSB38A7uNdc5NWgqhrw89X/eRFL6KxMJOHgqD2eZkiH6sbWLGtpQIbUMihMUz7vZkVxpUO0yZTtujGaU3sYwDJnvV2E8zcome4/BC5iuGBf8+1GpswbG9cFGvwpmu5EmXcFVU0yuL/AwwvlT5Ep5fAIfrf1z9xQ5Tr77fEoTkzA6dJKKJITkTV4BaIDTDuKYXquTKR59IXf2wvhZ6UTdRcWCrPVIDMiCmlNPgikarXw1DlUPB+INTHB8LL5Ir8VXEvCrPgSjJziA5fqfGTmfw+vZX/EminO/AVtUNehjKrpxqFyyAdb66gS3YUVKoLsL2gqUVHdGy4vuVo9pXcZ5IAVN/4OzSAKy+auIEjYBZLkpYTdYMU6q4TEk0FyVgm7QXJWCbtBclYJu0FyVgm7QXJWCbtBclYJu0FyVgm7QXJWCbtBclYJu0FyVgm7QXJWCZvRlXKXDMlZbYAkd0l0sdwlQ3LWTiPJXTK6Wu6SITmrhA3oerlLRqeclQkytJYsfAxVT5FjZHKK1XXQ6GkBaOpbt3scTBxClLs0LCcqHu82Y+oRdIPcJcNKZ22AIiEU46eFIiAoBLMSClBLB7AiLQbhR+7w1zw5mCznrIAQBATPx/iQROQy9cFvMxD+zklRSMK22ELukmwuSsXCwGWI3JWGfcnJCA8Jxc5rfCdRlrIScyKTsTl6CcYvSms1DtWFBARMDMVeJoxiMfYhd8mw6k4BVU4CZiU/xowZYyGrpBCgVKK0+ntoBgZi9/5geBgVuiBDF23CGboSLcLJH3H0f5sURVDnITYkDY0BgZjwbCWKrpXgcskdmo2ew+xtOzG3RavNRtDnTczHhJwI+PEei1FnI3JaMn4YewhrXqX2bWq/RReZPAIFsd5a3ds9z2H31qlQJsxCeJYn1pyIQyC/Nz83ZjoiL41B3NloTDZDZKQ15Uidux1YS8fGTDW/tihEm9yx6vAGBOmlARXJy7Hz+Q3YFliKLQHxyBizgkthsnv5VmF9YQMmrz2COHNVWZizWsrDr0uEcv171EsOCgsWHhRKdfexm6Cxlt33buFWp+HvNoHqplB8U++1/7wppCwMF1JKeJtRVyykrA4XVqzZJqxeEi5szn3Ad1iDDTQDTsWLugubC3n763Rh6evhwg6F9j78y5ton4I9KxZ2MPG2VqJzXPRs6THhHu+xjM5qBnCbfpcilPIeLWTXb3YLl9nTL/YL09qK9qlOCivaaDeYotP3YGmup9E0r8HyHXPh0dPuztOUIvWt/fjHso1YMkIncNxAV/XvkdtK7nI7ZLHWy10W5tTAZaLc4K3o5shdgsK4d1wBPZFhgNNgeL42FcsX+8ONH89msbX8REyKzobbgj1ICuZ37LJZd1EG1IFxOPK2kbhjTO4yXwnIx2K4gZs/TctdZiKM0oDSKWtxNmI072RQrlpPeWz/3lBsoJn37GAsP7AVwYP5blzFlpkF8D38pvlyR6LLWsnDvN3CgvBjZs+o3UpdvrB5SYyQrj+jMnqi3CXN/unhTNWGZijdNl9/9tRyedNM2hcuHKzkHYRObnJdLu/oCDuXu2RYPbPWZiVgxZXR2L7WHwN0eZK6DiqZowllkHJkbv0Mf3vEm+bSR47glTTb8KZR7mZjfeRVjNkY0aKWrZNhLNoO73hgo16OqXxvPhYq/XHog2ArhCo6mbPeLUXujb7w9XGFjFXI5fnYF5eIzGpXLNmvn0dSBAiKRVqfQHx8gKIY79Xmq3KsyaQcVsbE8vpaqMzSuZy1Xb7aTu4yCdPDT0E2cysOLW6ZoZWJocgYvsf8fJWwajWAFVgrrvhgd6yeozK1vrdi8KlJfXh3TJlnSNLSxDZPT2/VGPV5oqP6btNzVKIsJQor0isppvYguUtywC2LohAZnaBdlGf6r57+WDV7DNDLFW6tom8dallRqlPrE1Gi+Do9DPXESBqCMjEK+4q0e7qH7pO7ZFjsrGyZZNaGq6gt2o9ZIVGI3ZqG1F3rEBYchfShwXjdjKtTJorWWriZoQEFdQHW0yxxvl6JzSGhCItORGpyEmLD5mPBCVfMn+Xes+QuKX/WkDluU/SOG130aUeK4BE0A36tKnuaMVn136BulhqtOpqB48yBmY4r5d7nle7wNamPa0u6T+6SYZmzkjPsSgbeyTiEE5l7ETemAadPZGDv0SJUvfQGktZ6t4ifdTsNyN36ERqXHcDZjAM4FDsaDz/Pxt60UzhdPQyr3qcwTbPPgIHtJTk1TU/op5DgjaAFcmgu0UmO34718bGYMy0GOSMisFsvZGoZjcUrveFSTAVt9Ha6AEMRe3MqFT/kGMrPEB6WBPXsRfC1eOmqM5D9M13Fz48l2xdurcO8zW2WLkfMwPIAZxQmrkI4jTE2LBJprmFY85oVck0sZzUbVmS0SbjFZShzl5W6FI3wsK3koiixqBZa1Tg9Ue6yufjRk7HsCF2hp3ceOncO7EPukmHZzMpyqjbLG2JI1yXTT5Te6Nc2VRAlFtvoXfVEuUsuWdlKxrIjxN81oNfqnYfOnQP7kLtk/FtqXanyE7E0UY3Za4PRLy8Je2/7U7E47gmmMBLm8O8rzCbJXdod/77OKmF3WPlXVxIS3Y/krBJ2g+SsEnYC8P8eGKb+Q4e86QAAAABJRU5ErkJggg==[/img][br][br]Donde[img]data:image/png;base64,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[/img] son las coordenadas de un punto en el plano, y [img]data:image/png;base64,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[/img] son vectores no colineales en el plano.[br][br][img]data:image/png;base64,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[/img][br][br][br]
GeoGebra: Rectas en el espacio
Rectas en el espacio
Te ayudo, para mostrar una recta en el espacio de GeoGebra, debes seguir los siguientes pasos:[br][u][br][/u]1. [u]Punto[br][/u][b][br][/b] Primero, vamos a ingresar el punto [math]\left(3,-2,0\right)[/math][br] El área izquierda, de entrada de elementos, ingresa el punto [b]P = (3,-2,0).[br][br][/b]2. [b]Comando:[/b] [u]Vector[br][br][/u] En la misma área de entrada de elementos, ingresa el vector [math]\left\langle-5,1,2.5\right\rangle[/math]. [br] Para esto, deberás ingresar el comando [b]Vector[/b]:[br][center][br]v = [b]Vector[ [/b](5,-1,2.5) , (0,0,0) [b]][/b][/center] Lo que corresponde a la resta entre dos puntos (5,-1,2.5) y el punto (0,0,0).[u][br][/u][br]3. [b]Comando:[/b] [u]Recta[br][br][/u] ¿Estamos hasta ahí? [br][br] Ahora, vamos a ingresar la recta [math]\left(x,y,z\right)=\left(3,-2,0\right)+t\left\langle5,-1,2.5\right\rangle[/math][br] Para esto, deberás ingresar el comando [b]Recta[/b] con los parámetros [b]P[/b] y [b]v[/b] previamente ingresados:[br][br][center]f=[b]Recta[[/b] P ,v [b]][/b][/center][u][br][br][/u][b][color=#ff0000]Nota:[/color][/b] Presta atención a los detalles de cada instrucción o comando.
En GeoGebra puedes ir paso por paso para ver cómo se crean los objetos
Ejercicio
Hallar las ecuaciones paramétricas y simétricas de la [b]recta L[/b] que pasa por el punto[br][math]\left(1,-2,4\right)[/math] y es paralela al vector [math]v=\left\langle2,4,-4\right\rangle[/math][br][br]Luego, grafica en GeoGebra la recta, de acuerdo a las instrucciones que acabamos de revisar.
Ejercicios
Ecuacion de la recta
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[/img][br]Ejercicio 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[/img][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAj8AAACZCAYAAADAdlvtAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACUUSURBVHhe7Z3PaxVL2sefef+DAUkmcBMunMWrC0VEskp0J8IJBO6FC5G7MYxcIgFdBDHc4EIikZCFgWC4CGZ3MzgTIZADkp0mDEwIwdcsdBOQkwvB4F8wA+NbT1X1OdXd1aer+3T3OSf9/UDp6U7/qK6fTz3PU1V/+vd//vuNAAAAAABKwv/o/wEAAAAASgGEHwAAAACUCgg/AAAAACgVEH4AAAAAUCog/AAAAACgVED4AQAAAECpgPADAAAAgFIB4QcAAAAApQLCDwAAgC7hPT0bvECTm1/1MbBysEj9g4u0rw9BciD8AAAA6DyyQ1+lob2P9HL8nD4JrFx5QF/2KvRcCIrPDvQ5kAhsbwEAAKCznGzQ5PA2je39Rj8M6HMgHpluc3Rp8yPdv6LPASd6Q/PDGQwJNwDUw91Bdvmwv3yB+qc26FQfA1AOvtLrx3NUm5mC4JOUgR/p6co1WniBdiMpyYQfqZYUDXQgoAMGRXK6+Ysod63s3Uog6V9+r48BAF3LwUua2rpGqz9d1idAEvqGb1B1a45+76RyoAcVFCk0P6KQ7n2kL8c67M0TTY/2VkcjM+oXen2ij3NAdtAYxXeE/eUJWphZpy/30JjmgdRQQbAsJxEDYA5pO779nTWisRs0kkTr004bHvqGfPsCZ9LGa+A6jY0RLewUUyfPSv1v3+yl1W60tA3Pc1AIfeO/CcH7AV3Vxz5EA1L9NE+HEHwAyJ4rD+iQ2/vAILg2Izrf8TRCxHvaXRL/na9QnzoRg9bqDs9RTZ9Jguy4x4+MuK/TLL2jqeHOzpwKx2uHVsc4Xi5peo5Gbna4DxZywEsR717yO8rE50eq3eiI6t0gPYNSczowSV9Wf3RsSAEA6ajQkKGpuTp6W/z7LnkfcHJEH8R/1e+/U8etkJqRbRoRnawSwNJRXXli+BZdplvyWWu022GTjT9eWqBxTNO+wYr4F31wEnJyeP5Kr6dYbWeEkJpMSfCsKpVSr/WaGBKrCXW85KiBpWp1X9NnSY8qzBCIU0Plp22c3nWNZ+jzF6ffEW3N0UX590C8clO7xsc/CuVH07zP7scVfr66Tqer5V0yvXzmP9c4Rr0r2ueHz18cHjXuCV6jnsllzv+97unfKKs6RKr6A+UjnQnUUo8cntMoo41yZqSDU7wi6q9+XpVH6ksT+m/NZwfLkHu6BvNaPFO+q3l/VJ6rOIXf45xPHoYZJfbeUP11ucaMe5v56li2wvkRTL9mfWh8s7Uumnyl3TeibRsTwo8+0xZC+GENzqVBh6ntPL07SuPryNV74Wn0SnDoLLZ41T+LdKbbNOKiTRmoUDWB8Cnz21puVJmwtv+t6r8uk8F6ECyDwedGlWnr+x3LvTM81d05/Ovptz//5c63v9X95//4xx1x/um3f/Jx/e/ffv7L/37789KBcc3Bt0U+99e/f/sjcO7nv975tvgv71xE0M80r/vnknheIC4qHv7rrEE+z/4dvnv1e3/+x2njnHpv4FtkuvjfK+Pi+14V2oq3L+j0M+LmEn9bUHHS+cfBdp8+58tXcW5RXnP67W9/DfxNB/lsIx2c4tjyXV56GfH13u87Z0trXQ4D7wt9vzXod1jKcPB54fJguzccgmnFz/HnnX6fJZ3NoJ5z59vPweuc4qXfETxnPEs+PxQHcU3g+5zS1Zb/Op5m3oXz3LzWzGPLN4W+2xJkPESaiXvN68J1k5/vj4e6xohDKE6cFsY94u9t5Wtsfuk0cKwPTm1wI+h7fPF3zGtbsKSVSwileRshddxzC27thS/Y6lGrEJHukfXMCDK9gmVVv98sR6F0tcRRXRP4Vlt9DZ1LkUaB0L7wE4iUNWE4hBLHrcLLELxXHtsLvnx/XIK0uD8Ygt8TylAZdEYY18lCFIxHu/H2BXsjFAyR+eGFUL6o4K8E4e/zh+i/u3yXP45x77JUUFkGbRU2+KyIMheRBr4Q9Q59bzMfIuLv8A6XtLKWq0CQz3EoozIE4pU8v1oE+ezW9SzqWSqPm/eG8twLwTbJ1kaJEPtdoXxshvg0UeXKS0OXPAqG9PkqQrBstVsfWgX5bH85VnmToOM1QjCfXUPa+0KhRb4XH3R+eCFJGUr8Hbb2IKKNCARrnQ2WweCxDirfmmXTXqaD8XBru5KGFGavprlIBu2kpRydlPPa7KjF2TTCI93J1hvgdG+bahGzA6TteWubdh3Vf2H8Kmmp4vt05FevzdwIqF7P0dB58V/wugD5xtvDIf4GKk7zdCugWvXZkE/e0tZWRL6mokUcU7xLzhYJ5QljdwQMPXugQpfEfx+OLapWTeQ79L0NZPwt03Yd3hGFaYZR5lSRL/pvkQTNEk7xUvW3evN6ep8p09yjzcvRqvjo9iKtKULlU3i9mKHvRTmITbdrNDYcNr9Y7/Wp4CdoQZzy8lbGnU3eMSakVPnaogx6709aH5K0wafHR/L/hXEz7iT7gN5blVm0Q3J9ofW24m7mY+sQZwa+TPels7MIe/Ny+vpFm6k3EyxlIaqNSIFTv+IR15/m0KYy7U91PzZW5NTOa0lwsvUGULbQ7FGFeJS2bu40vo9nMWRFXvH2SBN/GaeGb5IRxkUD6iHt8td8Do5piY1j4nd9pfon/TM3ErxDxj8wQJBBdZBJ8OzlVVpvpJWzo2dw9oxLvHT9TVMnG8LAOFFNx1U24PrPVvT7skPnU8MfoRmkcJEJ2j9Jrkasv1POGDKQWw+Ib7f4RTFt5WssyetDkvyW7YXo1A69PJbBtiqz6ccV3YF3zt+GB2CjNHW+/SUx2F+nmRatQoLVq3n21CY7ka/Rc5v/SwaoiUpNR+9Wg/OkOPUrrmTYpppk6/AcHAXnhByJZY0YsVaXlGCX1wgml3h7pIy/jFOoMQtUVpGvLTsxT1KPwyWOse8K4vjutkjwDhn/4AChGZzzRggTD0WHPbsp7sti2r5LvFLX3+YIOpFDaoL3uXWSOp9kPGzf2YazrNakyTWkZH2J6cj01F81ZXmNqt6oP+t8NVBCTJ71wX1aOqfThxU1wDlcOaJqS+fUFLPE2mR/WQg+1OVLYiRuCxMOXEQZvctLFEhrjHJkb0vra+DUr7iSVZsaIOPZXt/RUNRiSynMGVEotbLdRJRqwaxIdGXPiOLi7REf/1ZxaiA7qXe0tRczAgmZ11zSL3CN67sMZEWzrnGhZ6ZYTQDJiHzHwbZ/9JEi/u7o70mDU7xa1N8UyJGk/m0n+n2yPoQIqMsFweuiy4ILtvTRad6qww+WAR/n6IdVtZZMdAefIF8jy2BTW5pbfdCauvg2nOt004SoViCOMOnJji296SINrHmTa4GZS2KIgZl1hlEhKDeA0PulxsNRoJHXJtfOS3cLLityle3bdDelIBHEqV9xJac2NWPhR1T0R1rd67N3v6dnbP8XI7JMFkG68kA8i9VgfhuqLNSsWXgUs86LLTFlJfSfk6M8/Tsp1sxPEG9pHoqddmqQNv5XJvViWgHVtBihPmtUxst0f/M21aZH/RXUuEb5LM3RQ+Pvofc7xTH+XUH6xp/o0bX/G+ToTlToWgaju77xKdGBiXf4RrCiXIfUuGrdEI6/f9qnaOCWE0zNlGXULxicbv4qvkcfJMYlXi3qr3Ec7lzPKW2DeU5rOFoj3neHG98Jf15LDaH+7XHlhlqM7rGRhpbr7PkkENeGpqNbqE3/6qubqgyJuqn9DeS3++p1uAycbi76fTtM4aTtfBXfZuaNSOdJfr/h55RXfdh/xT5cDkghyVgHSH5zWHCV6PSoff5DHWeAbDujNE2yXFKojwgK0S2fkRO16ZdGfol6+ULEyeI3Y0P5YvnXXnJC1qs1ev5C3O8oFDsNMJz6FVcyalMDZCz8CKS6V4x0fHZ3rQLNUMXIdtbDFfLZAS9OV6jmpFJrJibfJxtebWP1znHYHW3D56eR+fysprDjFm+lDUmkJUsdfx6Z8nXcWDbj1D98RCPmKED7McitTBrXbNOQ5yAq/s5+Cy3f7xrHuHeFsH+DHN21uS5IE3ZGFOXaZ8fmBdcC/h4CuQK1+E7TKZT9nOqjSRZfFO/z+Y1coIf0RKZxWpziFVF/ySiLDQFD/k01blfveeYdfc9joqdxPj8M53WgTPTv3JDn/Oj0MNM/6jo2NVHA3+BFxaETYdX6FNWNulldEnEz6ianoRrAeNfYysCRr36rSSHeM9rMVzGAPPx+tflsMaikUNuafX1QAzT1O91KzlFcphGu/zGTRRRKQ8Lfony4jHwIDhQjNE1KgDPzT4WQsM24OKBnAucXlyEzv7RZzmnB1nY0erov3Hrn3N/Y6n8Yx37FkWzaVD9/4ilf+jfoFng0JwrJ3cw6bgB6jIPFgNCQM7LOsRNzQe9LAWsjpJN0N/upMKH2i52fV2koKm0zzWsWkNSEirS+INk8o0Bkes/Rpc1020uwYHvxzQ1HQevskL3mB7QN+0rQyiQEHwBA7xE0cwXNYEE8LfmrgPYmBWzaa1doyeIZRRI1rdyN9/T7dHaOzr0EhJ8uhFV8vVLxAADADzuyN4UZ2Tm3NMmc075mq22b02zbRCQli2cUxomePXgnndbmdHOVFig7R+deAsIPAACADNE+LNqvSfo0xpnqpD9ghdx2MQeSNsxdbOpq5E1J3Svg8wMAAKBLYP8gNUEG2u8WSD8pXlAUfqFpgfADAAAAgFIBsxcAAAAASgWEHwAAAACUCgg/AAAAACgVEH4AAAAAUCog/AAAAACgVED4AQBkAE9RtuxMDfzwFOXI/ZAAAEUB4QeAHiW0e3inkB06793UQyvjdgq5aW+FngtB0WWXeQBAPkD4AaBH6RufJHrc4U6UV5ktcgPSswCvZrw3Tx/GIQAB0CmwyCEA3YxcyXVNH0RxrUPCh9r9eup8D+w03oWUdTdtALqBbDQ/Uu2NPVnc4A7jAvUvt7+DMaP2aCmHD8H+ski3qQ061celgM0kxx8jQ22GaHazQ1qXg5c0tSUEr58g+KShb/gGVbfm6HdofwAonHzMXqwK7yKbdryAoJw1sxJIACgCLte7o8k3NcyK/Z01orEbNAJzVzoGrtPYGNHCDtodAIoGPj+C/eUJWpiB6h64IwXqDmuh+sZ/65jgwwOG3SXx3/mKm8lGaofFAKMRukxTLAds7cdJDbRcn3OORm5eI1raxuwvAAomH+GHHfqOOzciDcKdxJeo3W9Fo1z9NE+HEHwAcOfkiD6I/6rff6eOWyDNldIp2jPXrdMsvaOp4W4w12qt7/Ac1fSZ1AgB6uH0O33gRt9gRfx7RHW4DABQKKXX/JwOTNIXOBwCkAwh/LCwcGnQbWp7deWJ4Zd0mW6tXBP/r9FuJ03jUhu1TSNCIDuU8WmHr/T68Rxdmrmtjx0ZqFBVCIIQfgAolhTCjx4pNYJl9Bby+VH38LEcBfJ9pn+Nvr7xTKs5Ifje4IJq2pHYvEa/I8rnh89fHB417glfI+PLzwnE0XUxN/Vu874/9F9Mwt9m9T+ypFNd/8kk+E4XNby8R6a7Q/4Kwu8IXheT5xbCaZVkwbwWjuQWh/xGnHSw+qfZTDX/p/LgIo/wt+boonfeTF8HE0+jXDWutaezxMj3YJ3ynyuaazTk4O9z9V54/R+l8egw0pk8QiOckP3lUdq6uUP3R/WJhHw4TrY4ZHxdCbcpXjlR98a3CQCcZZIJP7IRnqAPKztafS3CphjVxU7FVXx4oRw05X2emYkb/2ExYtrU5493aJVEp2IKQPq90i/He+/ePF3Sf1YVfZSmaJ4Ovb9L1XoUqqO8OF2hWuN6njmzRlVbo7A0Qf2PiZ56127eptr0aGynwx2c/x07NPZmgqa29AWa081Vosb3iyC+rSre6WvQQukkRqs3t6kaUrO/p995+qz3LBFqM64mhm16qEfC6l6RF2OcJua9ydLOmucWQmkl0oBEGrsLQNH+E37HXBV/aer03iXycyGw5orsIES5njXTe0V02H3KpCs1BWPeM5qzraRQ4zPx8LUk0t8ipHxapcmdG/q6aLOsLHtcJsSh6iS5vKt84tleSTvOLDg9PtK/0iHzhG7TSJeYxttC5BGXp6cFLfAYX1e4fATb6YQaKQDOOImEn/1Xc6KxXfeP4sToyVVlXDs/FfADEh3RC9EIimc2z5+jHx6Jhr4xBVRc81i919d5DvxI93U8pMMyd0Q+89Vluh/V2copukKACXQ4V+9xZy8EhVdB7YG41nz2lUlxXcwsDSGwPV/i9VfMd4hvWw0LZSHHVfFtd0WnVvvsaYlUOlVFY2Zex/dx5+dHfHfAjHf1J+44HfwKhFA2Zo3vGj33GtaEaRfOcwsyrXjKtvFMkQZPRbmqTb90ENoUcupwyJSiHHNn7+g08aZnPzLz84FMx4UXWuAW8WHfDRZ8/On9oPWU8kae+6eee/nUeL7HVoXuthAIJaydMPJTmZlEHsv0/0r1T/GmJymQBbQA9lCQNkDnd3Vl0leGehMhaLCwa5anPHGpK9If6xqNDfvbaa8sKx9ILEoJyk0C4Ud3IqPhxtpVhR1yjjx5S1u2dUIGKlKrI0e08hr7exUqXtWb150bHznqnLlhaXgjtAeha8/R0Hnx36cji3lOcbq3TTXrNODvaEgITmGURsLriKrimxrP1+nka8w0Q99HCJ4Nc4oI0pnTwa+gRXw9QSxp2rk4xKq0mqdbASEpsTOoFhp9QsbBNi0YGgYV/6lQwy/TcUu8S/yW8UmhlYjOcyEcjoqR99Y27ZrfMlahIf0zFuljEzQz/UF1IYjGxZPNTg0NQMvg3iGmN1s1BzPtbIXRHQId11nWsJj+TE1Ye5i1SdKprsj2s1scygHoTtyFHz27ox1CI1TZoHMlDTZYE6LD0lgbfQMdL1fHS26weLScN/XP7rM+VEOufAa8jsin0ZFp4IgYGUr/kHEhsHidmjaZtE/ytHPJF5lWDf8ZIziaU038QobSmDWFNR1/NmMG3iV9eDQyPkkEE02SPJecd5wmLlBmJhEnox6wufRDR7UnSR11WVjIZkXoPAS6xEgtoqhn04bfoCyzqk0zy1Qcru2XW11hzaBnslZ/z1oIA6DXcRd+tDYmU+RMBzYT2Bot7SQpr2lB4nhprU3ORGpkgrC/gDSVtNgUMi4NGjRH1Vk5cnooDU4+aSfTquE/EwwJO68rN+Q06q09T2toahZ1/GX62N6l0sw57wKkvc+FsECmfLtc/Exy0ZLoMpnE34idgqVfXpuCT9cgHaYDZUj61jTbtHiTb8zgLoB7XWGTtTrPbgns05ZsAgEAZ5sEZi9l/rD5uSjnxRRIwUV3VFHEXhMdryhkA2JdWOwr7b4RnYzVrJMMqYYOmjkYbcZrjV5AziMyDXR8Y1BmHAdaxNcbmeaRdpFplQo1jbr25i3tW8xQ0fFvkjY+re6TdSTCJOZMQ1PEGpRtGnFcoiEXLYksk6ZfWmvYBCSdzM04C8G/7B2yTaPXijRl0/M5c80rAMpAAuFHjCTuiFGNZRaS9E9Jhe6oQjOnROO+7PltXKb7enaV770nG/RMHmsHaTZl+KY5v6dnEVOr+8afWGYx6ZEpO/NmMTKVTtFBu7vWzOgjiRxB+wUb6cCtfyvs6XS6+atUuzfRmg2zcxfp5L7wmojvY9MpV6Qh+wsZPga5pJ01rQSNPE6Gt2cSz4RrODpr+sanpAN3NbicgijHjbSVDtAcH78m5HRzsXFs7YQi7xMdP2v3UjvFmuZGnsnzK9GjbDV7yblMI2yabeH31kCWQQp9f3DQJDVU1mUuOkuSeCWbBZdiwOBSV0L1RvtFav87THUHIJHwI2A1rxZEGqpynqrbxjRKOfNA3M9q2ab6fZTqo0ZDye/V0zkb1wxv05DnADzA04/XadbnyzFBFOkkrVTCanq2d703/TmrToXf4be798tOi8/pSxiOeyBNeWp4cBYXp5Onvvaue0hPQjPt1Kwr453GNOlYWJ1+58jwJ9DLC/g0DHmknf2Z/cNHNJLGKVbvmWSfSq39IXg5BfNdLyo+J1LWlnhT1L1rLr6pNDU3jU6I/9bsSKz3yWnJ7fieeM7kXL55inuOfiwJsDpxW5CzRFmwDvj2WQdN2um8GFiD5uURDxCMOAYHTi7xEgJ08zkOwkXsZA4bbnXlg9lW6mnv7TiYA3DW+NO///Pfb/o3KDE8GrzI6wM5mlIAUMJDNg7M3rPY6b+7Oun84oU6B0DnSKb5AQCABue0yXm1bROKt0Jyt2kncouXNkcHzbIAgGKA5gdIMAoFqTlYJLWqdXeY47oeIfhM6tXaY2eDAQByAZofAEB7yCnfU1QfxnTqWFhQHD6iu8cQfADoJND8AAAAAKBUQPMDAAAAgFIB4QcAAAAApQLCDwCdgJ1ei15ojv1NzLVhzuJCd2X4xl6gS/IBCzqCKCD8AFAovEKz6AzkTvtpUYvzJdmsUq5SLGdkeVtZrMs90EIrBUvU83vNeTnZN+ZBb6Zb1oTzgRdedVz40Ufycu5DLycQDfKrzED4AaAo5GiYV2hWm00WTXXliTEVXW2ZQrRGu8HORe9W7rrTeDfh/I150MPpljX+fNArlAtBtF6YBkYINo/n6NJMi90HkF+lBsIPKAlqlMcqeHOkJ0epRanF5ZTwzuzJxdtuBBfqk/uT+dBpNK723GpspRKxR56JMi/w9aaWpZnmRezZ5faNeZA+3RqaQEvoVY2ELR/qn1kDY9tuJh+8xSnvj+oTPtrJL3BWgPADSsH+Mu+rpjQutemXsoPmDpv3UUu0m/kZQm0sanZI3r5R4ifv8yZNFiLEbV1xsCj3meP996o+LQs/j01PRNWb1zuyeGb4G/MgZboxJ0f0ga4FTETi/Mx61612nQ4laGS7b2IMojzy+55Gpl8b+QXODBB+QCm4ek8JOEoTcET1gw16+HnKaaE5pR1yCT3kWHmyQc95p++VyUCHpHeQP19xF1auPFAdtd5QdmHHGEHLzv023W3RkeeWvpHfmAcp0o0R6UOGiYg1FlMkOuSYjrj7y6Sn0RLfs6VPFYJ4L/sbPYpbqT5lfoEzAxY5BCWDG+UJWhAdcq1DJihGbicyTU5bQnBHZ90BPQRrEFy0WDwaj9qQVKVP2l3AZVx5lO9tkyJG4ZPHkx3QYrT6Rj/ZpG976caoMlHpaLnMvqwJ9HYetZg61/67VZ779mJjPzu99crI3i/0++BvesDTfn6B3gbCDygZlgayAyQRfsKob6jfSbNFQoxQYHQWyeMV7MD5XS9paLXozjzmG/OgzXRr+/5uR37fGlUTCRsJy7l+Rytmvf3Uznp6g1hg9gLlQs/wqL156+yAyyNSu0khGLrf7BVnVjk9PhL/VmgoZYfgczA+eUv1m/Emp6zT19V0lCVtpRtrRkSnPbvp3hH3XJkcqFBV/8wNOaHA853SYZNnezV9qjwhqt1yDnofCD+gRLynZy8qdMgN4tYR1fXZOHj2SqhRtYbuHkWyVsZnkmLECNicVSRn5YyJTkEfJ0Z2ciJtRYe7/+qIRhxG+Vmmr8s35kH6dBNlcniOaGWn0THvL8cLLN1bJllbY5mpdnIk17XqlmnlbZdz0PNA+AElgRvlbRrhTlF20HpWUgEdY1cgF3yjkCOomg0VoCEYsl9Ec+q61DbETVkXaXuJ13N5tUi7owWbu5J8Yx4kTjcukwG/E1Eeq0u9r5HwZlQqxHe+EHkwNk+3Eptp20NpeCKIyC9QDiD8gDMPawP6B3mqu+6MvVlJvL7Hzo0CfX/UqJjNERflyrO86q06znuNkf1X7HBqvE+HoIPp1Z/UdPWq/DsvyBgQYGI1Zt/REKct3Ujhj9Qert+YB2nSTZrn2AQ7PdqML/us9LRGwlvewEsLDtoMaWrjikAIks165temxeYXOPPA4RkA4AALbi6O4nxdJ5ycuxXXdAMAFAk0PwCAWLwVc+M68NPNX6l+B4KPh2u6AQCKBZofAEBbsINu/Se1jgqv9IyOHgDQ7UDzAwBoA14pV/nZQPABAPQK0PwAAAAAoFRA8wMAAACAUgHhBwAAAAClAsIPAAAAAEoFhB8AAAAAlAoIPwAAAAAoFRB+AAAAAFAqIPwAAAAAoFRA+AEAAABAqYDwAwAAAIBSAeEHAAAAAKUCwg8AAAAASkUK4ecrvZ66QP2DRlh+r/8GAAAAANDdJBN+TjZocnCUps6v05fjjzqs0+zSBPVPbdCpvgwAAAAAoFtJtKv7/vIFqpIQfO5d1mc0LBQNz9GlzY90/4o+BwAAAADQhSTQ/Lyn3SWi2dGA4MMMXKexMaKFHZi/AAAAANDduAs/J0f0Qf8EAAAAAOhV3IWfgQpd0j8BAAAAAHqVBGav72goyrR18pa2tiJMYgAAAAAAXUQC4ecc/fBonqo8s8s3tf09PRueo9rMOpydAQAAAND1JJrtpRDCzuAELegjprqyQy/Hz+kjAAAAAIDuJYXwAwAAAADQuyQwewEAAAAA9D4QfgAAAABQKiD8AAAAAKBUQPgBAAAAQKmA8AMAAACAUgHhBwAAAAClAsIPAAAAAEoFhB8AQP6cbNDk4C/0+kQfl42DReofvGCEkqYF0gF0CRB+AAA5wivCi06Ot8DRZ8rG/rL4/vEjWt37SF+OOazTLL2jqeFF2tfX9B5f6fXUBXp2oA8dCKfDDq2OcTpAAALFA+EHAJAPcpS/TSOioztcuaZPlpPqyhP6YUAf0GW6JdNjjXYTCA9nAX86nKORm5wO76gO4QcUDIQfAM40aoTOJobJza/6nB6F521yuPJAjO4f0FV92ElON3/RZhZT29JMm/6pDTrVZ7Pm6r2Pob0P+wYr+lcn0No4SzDLSNbY0qH++Z349zaNYFNsUDAQfgA4w+wv/0r0SGleatMvZcfPgsDuKJsdfjNG4WeYg0V6SE/oy948VX3alnP0wyqboIiqN69TnzpZCPs7a+LfDnX6J0f0ga4FzE/i/Mx6gRtUK8Gz+mmeDrtEQAblAsIPAGeYq/eUgKM0DUdUP9igh5+n6H6ZRtpXHqhOfeA6jYlOfmHnvf6DQAoCt+luYZ2+4GSDni+xCWiyM52++GYyzE/7y6M0RUIIuXdZncgVT+sk3rmlTwHQAbCrOwClgDudCVoQHX3NYaTNZrGq6KDjYQ1CvAaJtU0Xp8np2jyR38XahtUflabnYJEmjycjNR5Zp4PSeIiO//w6fSlE2GiNypdKbJnIPh0EPANQOsK7lUkAsgTCDwClQHW6Wzd3CjRtNOkW4cff2XOavKSh1aI63u4SfKRDupx9lSZP1LfU73xsT4so47BG1ZXOlEtQXmD2AqAMHLyUZobam7e5Ofb2Aj5H45O3VL9ZnOmpWPNSDKx1EULH7GZnhVEaqFBV/wSgSCD8AHDmeU/PXlTocPM20dYR1fXZUiI7W5EGJ0IYeXVEIwVpG1jj5DO3MWxyy3F2VTSiPAzPEa3sNLQ2+8t5r7XDmiLLbLKTI7n+06VBaH1AsUD4AeBMw53ONo1wpys7fj3bqWMdb4cRaXCJ15V5tUi7owWZu0426CGb/B4Zgo9AzfgqGi4PE/TBNDOJslBdqtBQARogb8ahQsTlhUiDsXm6hanuoGDg8wPAGSXsZ6P8NOQsm5ki/E6M9wUp5P02dJwK9Ltp5SxctK9LZFyEAOLTSsWi0jGZz4/ndG+Q+L0AZAOEHwBAieBOu0gnZwBANwKzFwCgNJxu/kr1OxB8ACg7EH4AKATWOOS7fQCw4znzshmQV3ou1QKPAAArEH4AKAI91RyzWormK9U/8c7hF6Tgg7VkAAAMfH4AyJUIp9+OOfwCAACA8ANAAYS2VQAAANAxIPwAkDvJplfnso9SD4J0UCAdAMgeCD8A5I5a38S3sFwB9A9e0L+6ly/HH/Wv/EA6KLo9HYpIAwA84PAMQN4cbNOCGJWPDcPZFgAAugFofgDIGf9O4vHAzKFAOiiQDgBkD4QfAHJGdl5wdgYAgK4BZi8AiqCxmzr7/ywamzsCAAAoGmh+AMibkw2aHJ6jmjy47Wz+AgAAkA8QfgAArTlYpP7xNX3AwLfEihRyt2msRGmj/NkI5QH0HDB7AQAiYX+l/vEj0bl9lFORvxyv0yzxdhEw3TVhU6ZIp4Z2ryQIYe/h9Dt9AEBvAeEHANCS6soTY1R/mW6tXBP/r9HugTpTalgrNrhNI0IwPJTpUha+0uvHc3Rp5rY+BqC3gPADAIjk6r2PoYUZ+wYr+hegKw/oSwl9uPaXR2nr5g7dH9UnAOgxIPwAABKxv8P+P7dp5Io6BiXjYFEu3fAUO+SDHgbCDwDAnZMNer7EprBJzFgrJe/pGfuAPcKaVaC3gfADAHBE+XnUZtYL3aOsKKRzNzsux4Zf6PWJvqlU8Aa9vEed6QPWhGd+PYMfGOgRMNUdAOBAsp3py8iZn/YdWvIgzOzmR7oPcyjoAaD5AQDEwg6uUzRPhxB8yot07vaWPNBhk2d78bpP6hiCD+gVIPwAAFrCGo3Q3mQHizS5+VUfAABAbwHhBwAQjVzIjkIOrmrGFyg7p8dH+hcAvQV8fgAAkcgd6Zf0QYDqys6ZdHxOhvaF2tKHJjNn3D/K5wOELU9AbwHhBwAAAAClAmYvAAAAAJQKCD8AAAAAKBUQfgAAAABQKiD8AAAAAKBUQPgBAAAAQKmA8AMAAACAUgHhBwAAAAClAsIPAAAAAEoE0f8D9lrDqsKueA0AAAAASUVORK5CYII=[/img][br]
Video explicativo
Ecuaciones de la recta y el plano en el espacio
Conclusion
Conclusion
Comprender estos conceptos es esencial para resolver problemas relacionados con relaciones espaciales, geometría y geometría analítica. La importancia de las ecuaciones de una recta y un plano en el espacio se puede destacar en varios aspectos clave.[br]Entre ellos:[br]Representación geométrica.[br]Análisis espacial.[br]Representación paramétrica. [br]Cálculos de intersecciones.