Chapter 14, Problem 13CT

To determine

Tofind: the coordinates of the points after transformation $R_i\circ \left(R_y\circ R_x\right)$ .

Answer to Problem 13CT

The coordinates after transformation are $P\text{'}\left(4,-2\right)\text{ and }Q\text{'}\left(1,-2\right)$ .

Explanation of Solution

Given information:

From the figure provided in the question, it can be observed that

The coordinates of points are $P\left(4,2\right),Q\left(1,2\right)$ .

Calculation: to find the coordinates after transformation $R_i\circ \left(R_y\circ R_x\right)$ ,first change the coordinates sign then change the $x$ -coordinates,

Thus, the coordinates of points after transformation are $P\text{'}\left(4,-2\right)\text{ and }Q\text{'}\left(1,-2\right)$ .