Chapter 12.1, Problem 3E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

Which of the points *A*(−4, 0, −1), *B*(3, 1, −5), and *C*(2, 4, 6) is closest to the *yz*-plane? Which point lies in the *xz*-plane?

To determine

**To find:** The point which is closest to the *yz*-plane and the point which lies in the *xz*-plane.

Explanation

The point that is closest to the *yz*-plane is the point which has the smallest absolute value of *x*-coordinate.

The absolute value of the *x*-coordinate of point *A* is 4.

The absolute value of the *x*-coordinate of point *B* is 3.

The absolute value of the *x*-coordinate of point *C* is 2.

Among the three points *A*, *B*, and *C*, the smallest absolute value of the *x*-coordinate is in point *C* (which is 2).

Therefore, the point that is closest to the *yz*-plane is

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