Question 1173363: Find the vector projection of u=(7,3) onto v=(3,-3) and graph it.
Answer by htmentor(1343)   (Show Source):
You can put this solution on YOUR website! The magnitude of v = sqrt(3^2 + 3^2) = sqrt(18).
The scalar projection is the dot product divided by the magnitude of v:
u.v/||v|| = 7*3 - 3*3 = 12/sqrt(18)
The unit vector in the direction of v = v/||v||
The projection vector, w, is given by the scalar projection times the
unit vector in the direction of v:
w = 12/sqrt(18)*(1/sqrt(18)(3,-3) = (2,-2)
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