Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 13 - Vector Geometry - 13.5 Planes in 3-Space - Exercises - Page 684: 1

Answer

$x+3y+2z= 3$

Work Step by Step

Scalar form of the equation of a plane is $a(x-x_{0})+b(y-y_{0})+c(z-z_{0})=0$ where $(x_{0},y_{0},z_{0})$ is the point; a,b and c are direction ratios of the normal vector to the plane. Substituting the values, we have $1(x-4)+3(y-(-1))+2(z-1)=0$ or $x-4+3y+3+2z-2=0$ or $x+3y+2z=3$
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