# Point A is at #(-3 ,4 )# and point B is at #(-8 ,1 )#. 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

It can be seen from the diagram, that a rotation about the origin through an angle

So the transformation matrix will be:

Matrix A:

Transformation matrix will be:

Coordinates:

Distance between A and B:

Distance between

The distance has been reduced by a factor of