# Point A is at #(1 ,-1 )# and point B is at #(-2 ,9 )#. 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

Mar 15, 2016

#### Explanation:

Given point A(1, -1) and point B(-2, 9). Rotate A by

First find

Now rotate

If you want to show this use:

Now compute

Now the difference is: