# Point A is at #(-5 ,-1 )# and point B is at #(2 ,-3 )#. 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

Dec 21, 2017

The new coordinates are

#### Explanation:

The point

The point

The distance

The matrix for a rotation of angle

And when

Therefore,

The coordinates of the point

The distance

The change in the distance is