# Point A is at #(1 ,-8 )# and point B is at #(-3 ,-2 )#. Point A is rotated #(3pi)/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

May 7, 2017

The new coordinates are

#### Explanation:

The matrix of a rotation clockwise by

Therefore, the trasformation of point

Distance

Distance

The distance has changed by