Answer
$u(u·v)=⟨72,-36⟩$
It is a vector.
Work Step by Step
$u(u·v)=⟨-4,2⟩(⟨-4,2⟩⋅⟨5,1⟩)=⟨-4,2⟩[-4(5)+2(1)]=⟨-4,2⟩(-20+2)=⟨-4,2⟩(-18)=⟨-4(-18),2(-18)⟩=⟨72,-36⟩$
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