# Point A is at #(-1 ,-8 )# and point B is at #(-5 ,3 )#. 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?

(-8 ,1) and ≈ 8.104

a point (x ,y) → (y ,-x)

hence point A(-1 ,-8) → A' (-8 ,1)

hence the change in length = 11.705 - 3.601 = 8.104

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The new coordinates of point A after rotating π/2 radians clockwise about the origin are (8, -1). The distance between points A and B has changed by 10 units.

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