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

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Answer 1 · 2017-02-09T09:29:52

The angle is #=90#º

The angle between #vecv# and #vecw# is given by the dot product definition.

#vecv.vecw=∥vecv∥*∥vecw∥costheta#

Where #theta# is the angle between #vecv# and #vecw#

The dot product is

#vecv.vecw=〈1,1〉.〈2,-2〉=2-2=0#

The vectors are perpendicular

#theta=90#º