Chapter 11, Problem 3RE

To determine

Find the coordinates of a point.

Answer to Problem 3RE

The coordinate of point $P$ is $\left(–5,4,0\right)$ .

Explanation of Solution

Given:

The point is located in the xy-plane, four units to the right of the xz-plane, and five units behind the yz-plane.

The first one tells that the point $P$ is located in the xy-plane at 4 unit distance from xz-plane on the right side. Hence the z-coordinate of $P$ will surely be zero and y-coordinate will be 4 with positive sign.

The second condition is that $P$ is located at 5 unit distance on the back side of yz-plane. Hence x-coordinate will be 5 with negative sign. Therefore the coordinate of point $P$ is $\left(–5,4,0\right)$ .