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

See below.

#### Explanation:

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

So the transformation matrix will be:

Matrix for point A:

Transformation:- Rotation through

Distance between **A** and **B**:

Distance between **A'** and **B**:

The distance between the points has increased by a factor of