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Find the Vector v\mathbf { v } That Has a Magnitude of 6 and Is in the Magnitude

Question 109

Multiple Choice

Find the vector v\mathbf { v } that has a magnitude of 6 and is in the same direction as u\mathbf { u } , where u=⟨−6,−5⟩\mathbf { u } = \langle - 6 , - 5 \rangle .


A) v=⟨−3661,−3061⟩\mathbf { v } = \left\langle \frac { - 36 } { \sqrt { 61 } } , \frac { - 30 } { \sqrt { 61 } } \right\rangle
B) v=⟨−661,−561⟩\mathbf { v } = \left\langle \frac { - 6 } { \sqrt { 61 } } , \frac { - 5 } { \sqrt { 61 } } \right\rangle
C) v=⟨−161,−661⟩\mathbf { v } = \left\langle \frac { - 1 } { \sqrt { 61 } } , \frac { - 6 } { \sqrt { 61 } } \right\rangle
D) v=⟨−161,161⟩\mathbf { v } = \left\langle \frac { - 1 } { \sqrt { 61 } } , \frac { 1 } { \sqrt { 61 } } \right\rangle
E) v=⟨561,661⟩\quad \mathbf { v } = \left\langle \frac { 5 } { \sqrt { 61 } } , \frac { 6 } { \sqrt { 61 } } \right\rangle

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