Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 12 - Section 12.5 - Equations of Lines and Planes - 12.5 Exercises - Page 831: 32



Work Step by Step

The general form of the equation of the plane is: $x+ay+bz=c$ Since the plane passes through the origin, $c=0$ $x+ay+bz=0$ Plugging in the values $(3,-2,1)$, we get $3+a(-2)+b(1)=0$ $3-2a+b=0$ $2a-b=3$ ...(1) Plugging in the values $(1,1,1)$, we get $1+a(1)+b(1)=0$ $a+b=-1$...(2) Add equations (1) and (2) and after simplification, we get $3x+2y-5z=0$
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