SOLUTION: Find u · v, where 𝜃 is the angle between u and v. ||u||=16 ||v||= 64 theta= 3pi/4

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Question 1190373: Find u · v, where 𝜃 is the angle between u and v. ||u||=16 ||v||= 64 theta= 3pi/4
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

u dot v = |u|*|v|*cos(theta)
u dot v = 16*64*cos(3pi/4)
u dot v = 16*64*(-sqrt(2)/2)
u dot v = -512*sqrt(2)

Note: the dot product is nonzero, so the vectors are not orthogonal (i.e. they aren't perpendicular).

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