# Point A is at #(9 ,3 )# and point B is at #(1 ,-6 )#. Point A is rotated #pi/2 # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?

##### 1 Answer

Jun 28, 2017

The new coordinates are

#### Explanation:

The matrix of a rotation clockwise by

Therefore, the transformation of point

The distance

The distance

The distance has changed by