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: 36



Work Step by Step

The normal to the plane is $n=\lt 1,-2,3 \gt$ We know that the standard equation of a plane passing through the point $(x_0,y_0,z_0)$ is written as: $a(x-x_0)+b(y-y_0)+c(z-z_0)=0$ Then, we have the point $P(-1,6,0)$ $1(x+1)-2(y -6)+3(z-0)=0$ or, $x+1-2y+12+3z=0$ or, $x-2y+3z=-13$
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