Chapter 2.6, Problem 15PSC

To determine

The restrictions on the coordinates of T.

Answer to Problem 15PSC

The restrictions on the coordinates of T are $4,6,-2,-4$ .

Explanation of Solution

Given information:

  $\overrightarrow{\mathrm{R}\mathrm{T}}$ is perpendicular to x-axis and $3<\mathrm{R}\mathrm{T}<5$ .

Here,

T is either above or below R and between $3$ and $5$ units away. If T is above R, then the y coordinate must be between $4$ and $6$ as $\left(1+3=4\right)$ and $\left(1+5=6\right)$ .

If T is below R, then the y coordinate must be between $-2$ and $-4$ .

Therefore, the restrictions on the coordinates of T are $4,6,-2,-4$ .