Answer
$(u·v)v=⟨-90,-18⟩$
It is a vector.
Work Step by Step
$(u·v)v=(⟨-4,2⟩⋅⟨5,1⟩)⟨5,1⟩=[-4(5)+2(1)]⟨5,1⟩=(-20+2)⟨5,1⟩=(-18)⟨5,1⟩=⟨-18(5)),-18(1)⟩=⟨-90,-18⟩$
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