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

Find the projection of $\mathbf { u }$ onto $\mathbf { v }$ if $\mathbf { u } = \langle 2 , - 1 \rangle , \mathbf { v } = \langle 5,2 \rangle$ .

A) $\left\langle \frac { 40 } { \sqrt { 29 } } , - \frac { 8 } { \sqrt { 29 } } \right\rangle$
B) $\left\langle \frac { 16 } { \sqrt { 29 } } , \frac { 40 } { \sqrt { 29 } } \right\rangle$
C) $\left\langle \frac { 16 } { \sqrt { 29 } } , - \frac { 8 } { \sqrt { 29 } } \right\rangle$
D) $\left\langle \frac { 16 } { \sqrt { 29 } } , \frac { 16 } { \sqrt { 29 } } \right\rangle$
E) $\left\langle \frac { 40 } { \sqrt { 29 } } , \frac { 16 } { \sqrt { 29 } } \right\rangle$

Correct Answer:

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