Chapter 11, Problem 4RE

To determine

Find the coordinates of a point.

Answer to Problem 4RE

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

Explanation of Solution

Given:

The point is located on the y-axis, seven units to the left of the xz-plane.

The first one tells that the point P is located on the y-axis . Hence x-axis and x-coordinate of P will surely be zero.

The second condition is that P is located at 7 unit distance on the left side of xz-plane. Hence y-coordinate will be 7 with negative sign. Therefore, the coordinate of point P is $\left(0,–7,0\right).$