University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 11 - Practice Exercises - Page 638: 37

Answer

$-9x+y+7z=4$

Work Step by Step

The normal to the plane is $n=\lt -9,1,7 \gt$ We know that the standard equation of plane passing through the point $P(x_0,y_0,z_0)$ is written as: $a(x-x_0)+b(y-y_0)+c(z-z_0)=0$ Then, we have for the point $P(1,-1,2)$ $-9(x -1)+1(y +1)+7(z-2)=0$ or, $-9x+9+y+1+7z-14=0$ or, $-9x+y+7z=4$
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