Consider vectors u with components two comma one and v with components four comma negative one with the angle between them equal to 40 degrees What are the scalar projections u sub v and v sub u ?

A scalar projection onto a vector is the length of the first vector multiplied by the cosine of the angle between them. Here, |u| = √5 and |v| = √17, so u onto v is √5 cos 40° ≈ 1.71, while v onto u is √17 cos 40° ≈ 3.16. Choice D gives these two projections.

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