DESARROLLO.docx - Las componentes y la longitud del vector inicial p y punto final q v que tiene punto el vector se obtiene restando las coordenadas del

DESARROLLO.docx - Las componentes y la longitud del vector...

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Las componentes y la longitud del vector v que tiene punto inicial p y punto final q el vector se obtiene restando las coordenadas del extremo menos el origen a. p ( 3 , 3, 1 ) y q (− 2, 7, 5 ) v = q p ( 2 , 7 , 5 ) −( 3 , 3 , 1 )=(− 5 , 4 , 4 ) v = 5 2 + 4 2 + 4 2 = 25 + 16 + 16 = 57 Un vector unitario en la dirección de v Vector unitario u =[ 1 57 ](− 5 , 4 , 4 )= ¿ ( 5 57 , 4 57 , 4 57 ) El punto medio del segmento de recta ´ pq 3 + ( 2 ) 2 , 3 + ( 7 ) 2 , 1 + ( 5 ) 2 Pm = ¿ 0.5 , 5 , 3 Realizar la gráfica respectiva por medio de la herramienta Geogebra.
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OBTENGA UNA ECUACIÓN DEL PLANO QUE SATISFAGA LAS CONDICIONES INDICADAS: a. Paralelo al plano 2 x y + z 3 = 0 y contiene al punto (− 1,6 , 2 ) . Sabemos que la ecuación del plano es A ( x x 1 ) + B ( y y 1 ) + C ( z z 1 ) = 0 Entonces 2 ( x −(− 1 ) ) + y ( y 6 ) + Z ( z −(− 2 ) ) 3 = 0 2 X + 2 + y 6 + Z + 2 3 = 0 2 X + y + Z 5 = 0 2 X + y + Z =− 5 REALICE LA GRÁFICA E IDENTIFIQUE EL TIPO DE SUPERFICIE DE LAS
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  • Spring '17
  • JOSÉ ADEL BARRERA
  • Punto, Recta, Ecuación, Punto medio, Vector unitario

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