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<font color="#000000"><b><font size="4">HAZ PROPIO DE PLANOS (DE EJE LA RECTA R)</font><br />
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<font color="#000000" face="times new roman,times" size="3"><b><span style="font-size: 12pt; line-height: 115%"><span>1.<span> </span></span></span></b></font><font color="#000000" face="times new roman,times" size="3"><b><u><span style="font-size: 12pt; line-height: 115%; font-family: 'Times New Roman','serif'"></span></u></b><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">Dados
los planos:</span></font>
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<font color="#000000" face="times new roman,times" size="3"><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">que se
cortan según la recta r, la ecuación:<o:p></o:p></span></font>
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<font color="#000000" face="times new roman,times" size="3"><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">a</span><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">(</span><i><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">A</span></i><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">1</span><i><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">x
</span></i><span style="font-size: 14pt">+ <i>B</i></span><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">1</span><i><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">y
</span></i><span style="font-size: 14pt">+ <i>C</i></span><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">1</span><i><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">z
</span></i><span style="font-size: 14pt">+ <i>D</i></span><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">1</span><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">)
+ </span><span style="font-size: 14pt">b</span><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">(<i>A</i></span><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">2</span><i><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">x
</span></i><span style="font-size: 14pt">+ <i>B</i></span><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">2</span><i><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">y
</span></i><span style="font-size: 14pt">+ <i>C</i></span><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">2</span><i><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">z
</span></i><span style="font-size: 14pt">+ <i>D</i></span><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">2</span><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">)
= 0; </span><span style="font-size: 14pt">a</span><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">,
</span><span style="font-size: 14pt">b</span><span style="font-size: 14pt; font-family: 'Times New Roman','serif'"> pertenecientes a <span> </span></span><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">R,<o:p></o:p></span></font>
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<font color="#000000" face="times new roman,times" size="3"><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">representa
el conjunto de planos que contienen a <i>r</i>. Para cada par de valores
</span><span style="font-size: 14pt">a</span><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">, </span><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">b </span><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">se
obtiene<o:p></o:p></span></font>
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<font color="#000000" face="times new roman,times" size="3"><span style="font-size: 14pt; font-family: 'Times New Roman','serif'">uno de
ellos. Ese conjunto se llama <b>haz propio de planos de eje <i>r</i></b>.</span></font>
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