Asked by Anonymous
Find sinθ between two vectors v = (4, -3) and u = (3, 2)
Answers
Answered by
oobleck
u•v = (4)(3) + (-3)(2) = 6
now recall that
u•v = |u| |v| cosθ so that means
5*√13 cosθ = 6
cosθ = 6/(5√13)
Draw the triangle, and you can see that
sinθ = 17/(5√13)
now recall that
u•v = |u| |v| cosθ so that means
5*√13 cosθ = 6
cosθ = 6/(5√13)
Draw the triangle, and you can see that
sinθ = 17/(5√13)
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