2008-06-14T16:08:11Z https://matematicasies.com/Hallar-paralela-y-perpendicular#comment271 2008-06-14T16:08:11Z

<p>Dadas las rectas:<br> <img src='https://matematicasies.com/local/cache-TeX/02a7c8a60b6d44b35c5ef9a263ce86e1.png' style="vertical-align:middle;" width="167" height="72" alt="R_1 \equiv \left\{ \begin{array}{ll} x = 3-2t \\ y = 7+t \end{array} \right." title="R_1 \equiv \left\{ \begin{array}{ll} x = 3-2t \\ y = 7+t \end{array} \right."> <br> <img src='https://matematicasies.com/local/cache-TeX/84afac37b05f9d561ec43cd2d60860d1.png' style="vertical-align:middle;" width="167" height="72" alt="R_2 \equiv \left\{ \begin{array}{ll} x = 1-4t \\ y = 4+3t \end{array} \right." title="R_2 \equiv \left\{ \begin{array}{ll} x = 1-4t \\ y = 4+3t \end{array} \right."> <br>Se pide:<br> <br><span class="spip-puce ltr"><b>–</b></span> una recta <img src='https://matematicasies.com/local/cache-TeX/5dbc98dcc983a70728bd082d1a47546e.png' style="vertical-align:middle;" width="20" height="40" alt="S" title="S"> paralela a <img src='https://matematicasies.com/local/cache-TeX/b7000dd9eb57a731c41f8c85a55ff36a.png' style="vertical-align:middle;" width="27" height="40" alt="R_1" title="R_1"> por el punto <img src='https://matematicasies.com/local/cache-TeX/9fb1b35f15e8a0663d44a588d8e1aa4a.png' style="vertical-align:middle;" width="47" height="42" alt="(5,7)" title="(5,7)"> <br><span class="spip-puce ltr"><b>–</b></span> una perpendicular <img src='https://matematicasies.com/local/cache-TeX/c1d9f50f86825a1a2302ec2449c17196.png' style="vertical-align:middle;" width="23" height="40" alt="H" title="H"> , a <img src='https://matematicasies.com/local/cache-TeX/dcaf993833e8825e80c88a3a9eef9ed3.png' style="vertical-align:middle;" width="27" height="40" alt="R_2" title="R_2"> por el punto <img src='https://matematicasies.com/local/cache-TeX/5c16f757233856dcf311176b7410d2d5.png' style="vertical-align:middle;" width="47" height="42" alt="(0,0)" title="(0,0)"></p> <p>Las ecuaciones paramétricas de una recta son de la forma:<br></p> <center><img src="http://matematicasies.com/images/ej_1857.png" alt="ej_1857.png"></center> <p><span class="spip-puce ltr"><b>–</b></span> Paralela por (5,7): igual vector y como punto el (5,7)<br> </p><p class="spip" style="text-align:center;"><img src='https://matematicasies.com/local/cache-TeX/3c3324a5fe758ae6f7c517d1841f1440.png' style="vertical-align:middle;" width="157" height="72" alt="S \equiv \left\{ \begin{array}{ll} x = 5-2t \\ y = 7+t \end{array} \right." title="S \equiv \left\{ \begin{array}{ll} x = 5-2t \\ y = 7+t \end{array} \right."></p> <p><span class="spip-puce ltr"><b>–</b></span> Perpendicular por (0,0): vector perpendicular a (-4,3) es por ejemplo (3,4). Como punto tomamos el (0,0)<br> </p><p class="spip" style="text-align:center;"><img src='https://matematicasies.com/local/cache-TeX/09edc81d5425e81475d2791041c3a893.png' style="vertical-align:middle;" width="160" height="72" alt="H \equiv \left\{ \begin{array}{ll} x = 0+3t \\ y = 0+4t \end{array} \right." title="H \equiv \left\{ \begin{array}{ll} x = 0+3t \\ y = 0+4t \end{array} \right."></p> <br class="autobr">