How do you find the angle between the vectors v=i+j, w=2i-2jv=i+j,w=2i2j?

1 Answer
Feb 9, 2017

The angle is =90=90º

Explanation:

The angle between vecvv and vecww is given by the dot product definition.

vecv.vecw=∥vecv∥*∥vecw∥costhetav.w=vwcosθ

Where thetaθ is the angle between vecvv and vecww

The dot product is

vecv.vecw=〈1,1〉.〈2,-2〉=2-2=0v.w=1,1.2,2=22=0

The vectors are perpendicular

theta=90θ=90º