# Point A is at #(6 ,-2 )# and point B is at #(-3 ,5 )#. 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

Sep 28, 2016

Use

#### Explanation:

Compute the distance from B to A:

Convert A to polar form:

Rotate:

Convert back to Cartesian form:

Compute the distance from B to the new A: