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Find the Projection Of u\mathbf { u } Onto v\mathbf { v }

Question 28

Multiple Choice

Find the projection of u\mathbf { u } onto v\mathbf { v } if u=⟨5,−4⟩,v=⟨−2,3⟩\mathbf { u } = \langle 5 , - 4 \rangle , \mathbf { v } = \langle - 2,3 \rangle .


A) ⟨4413,8813⟩\left\langle \frac { 44 } { \sqrt { 13 } } , \frac { 88 } { \sqrt { 13 } } \right\rangle
B) ⟨−11013,4413⟩\left\langle - \frac { 110 } { \sqrt { 13 } } , \frac { 44 } { \sqrt { 13 } } \right\rangle
C) ⟨−11013,8813⟩\left\langle - \frac { 110 } { \sqrt { 13 } } , \frac { 88 } { \sqrt { 13 } } \right\rangle
D) ⟨−11013,−6613⟩\left\langle - \frac { 110 } { \sqrt { 13 } } , - \frac { 66 } { \sqrt { 13 } } \right\rangle
E) ⟨4413,−6613⟩\left\langle \frac { 44 } { \sqrt { 13 } } , - \frac { 66 } { \sqrt { 13 } } \right\rangle

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