Chapter 11.3, Problem 36E

To determine

To write: The coordinate rules for clockwise rotations of ${90}^{°}{.180}^{°}$ , or ${270}^{\text{s }}$ about the origin

Explanation of Solution

Given information: The angle is ${90}^{°}{.180}^{°}$ , or ${270}^{\text{s }}$

Calculation:

The coordinate rules for clockwise rotations is,

90 degrees rotation means 270 degrees counter clockwise rotation. Hence the coordinate rule for 90 degrees clockwise rotation is $\left(a,b\right)\to \left(b,-a\right)$ .

180 degrees rotation means 180 degrees counter clockwise rotation. Hence the coordinate rule for 180 degrees clockwise rotation is $\left(a,b\right)\to \left(-a,-b\right)$ .

270 degrees rotation means 90 degrees counter clockwise rotation. Hence the coordinate rule for 270 degrees clockwise rotation is $\left(a,b\right)\to \left(-b,a\right)$ .