   Chapter 12.1, Problem 3E

Chapter
Section
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 C(2,4,6)_

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