Point A is at #(-2 ,-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?

1 Answer
sankarankalyanam
Feb 22, 2018

Increase in distance due to rotation of point A 1.6816

Explanation:

enter image source here

#A (-2, -8), B (-5, 3)#

Point A rotated clockwise about origin by #pi/2#

#A ((-2), (-8)) -> A’ ((8),(2))# from III to I quadrant.

# vec(AB) = sqrt((-2+5)^2 + (-8-3)^2) = sqrt130 = 11.4018#

#vec (A’B) = sqrt ((8+5)^2 + (2-3)^2) = sqrt170 = 13.0834#

Change in distance due to rotation of point A

#d = 13.0834 - 11.4018 = color(purple)(1.6816#

Related questions
See all questions in Rotations
Impact of this question
1237 views around the world
You can reuse this answer
Creative Commons License