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Answers for “y=(7,6) 在 u=(2,1) 上的投影是什么?”

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First, calculate the dot products y⋅u=20y \cdot u = 20 and u⋅u=5u \cdot u = 5. The scalar coefficient is 20/5=420/5 = 4.

Conditions: y=(7,6)y = (7,6); u=(2,1)u = (2,1)

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First, find the residual by subtracting the projection (8,4)(8,4) from y=(7,6)y=(7,6), resulting in (−1,2)(-1,2). Then, compute the dot product of the projection (8,4)(8,4) and the residual (−1,2)(-1,2).

Conditions: y=(7,6)y = (7,6); Projection is (8,4)(8,4); Residual is (−1,2)(-1,2)