Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 12: Vectors and the Geometry of Space - Section 12.5 - Lines and Planes in Space - Exercises 12.5 - Page 727: 25



Work Step by Step

The standard equation of plane passing through the point $(a,b,c)$ is given as $p(x-a)+q(y-b)+r(z-c)=0$ The equation of normal to the plane;$n=\lt 1,3,4 \gt$ For point $(2,4,5)$, we get $1(x-2)+3(y-4)+4(z-5)=0$ or, $x-2+3y-12+4z-20=0$ Thus, $x+3y+4z=34$
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