Calculus: Early Transcendentals 8th Edition

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

Chapter 12 - Section 12.1 - Three-Dimensional Coordinate Systems - 12.1 Exercises: 3

Answer

Nearest to yz-plane: $C$ Lies in xz-plane: $A$

Work Step by Step

Nearest to yz-plane: The point closest to the yz-plane will have the smallest |x|-value. In this case, $C$'s |x|-value, $|2|$, is smaller than $A: |-4|$ and $B: |3|$. Lies in the xz-plane: A point that lies in the xz-plane will have a y-value of zero. Point A is the only point that matches this criteria at $A(-4,0,1)$
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