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 - Practice Exercises - Page 735: 59

Answer

$2x+7y+2z=-10$

Work Step by Step

The normal equation of plane is given as: $ n=\lt 2,7,2 \gt$ Consider the standard equation of plane passing through the point $(x_1,y_1,z_1)$ be $a(x-x_1)+b(y-y_1)+c(z-z_1)=0$ and for point $(-2,0,-3)$, we get $2(x+2)+7(y-0)+2(z+3)=0 \implies 2x+4+7y+2z+6=0$ Thus, $2x+7y+2z=-10$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.