Chapter 14.4, Problem 3CE

To determine

To find: Another name for $R_{0,-90}$ .

Answer to Problem 3CE

Another name for $R_{0,-90}$ is $R_{0,270}$ .

Explanation of Solution

Given information :

For clockwise rotation of point O through ${90}^o$ represent as $R_{0,-90}$ .

Concept used:

A rotation is a transformation suggested by rotating a paddle wheel. When wheel stops, new position of a paddle referred as the image of initial position.

As per the given problem

For clockwise rotation of point O through ${90}^o$ represent as $R_{0,-90}$ .

  

Because rotation for one whole circle is rotation for 360°. So, instead rotation of 90° clockwise, we can use rotation of 270° counter-clockwise.

  $\Rightarrow R_{0,-90}=R_{0,-90+360}=R_{0,270}$

Hence,

Another name for $R_{0,-90}$ is $R_{0,270}$ .