Chapter 14.4, Problem 4WE

To determine

To find: Another name for $R_{B,-720}$ .

Answer to Problem 4WE

Another name for $R_{B,-720}$ is $R_{B,-360}$ .

Explanation of Solution

Given information :

For clockwise rotation of point B through ${720}^o$ represent as $R_{B,-720}$ .

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 B through ${720}^o$ represent as $R_{B,-720}$ .

  

Because rotation for one whole circle is rotation for 360°. So, instead rotation of 720° clockwise, we can use rotation of -360° counter-clockwise.

  $\Rightarrow R_{B,-720}=R_{B,-720+360}=R_{B,-360}$

Hence,

Another name for $R_{B,-720}$ is $R_{B,-360}$ .