Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 12 - Vectors and the Geometry of Space - 12.1 Exercises - Page 814: 3

Answer

Point C is closest to the yz-plane. Point A lies in the xz-plane.

Work Step by Step

The yz-plane is the set of points where x = 0. Therefore, the closer the x-coordinate of the point is to zero, the closer the point is to the yz-plane. Point C has an x-coordinate of 2, which is closer to zero than -4 and 3, which are the x-coordinates of points A and B respectively. Therefore, point C is the closest one to the yz-plane. The xz-plane is the plane where y = 0. The only point with a y-coordinate of 0 is A. Thus, point A lies in the xz-plane.
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.