# Point A is at #(6 ,2 )# and point B is at #(3 ,8 )#. 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

Feb 7, 2018

(-2,6) is the new coordinate of Point A

Now, the points are closer by 1.323

#### Explanation:

Origin

Point A

Point B

Distance between points A and B is

After transformation

Rotation by

When rotated by

the new coordinates are

When further rotated by

the coordinates are further transformed into

After transformation

Point A

Point B

Distance after transformation is

The distance between the points A and B has changed by

Now, the points are closer by 1.323