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

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