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Find the Vector v\mathbf { v } That Has a Magnitude of 8 and Is in the Magnitude

Question 112

Multiple Choice

Find the vector v\mathbf { v } that has a magnitude of 8 and is in the same direction as u\mathbf { u } , where u=⟨−6,−4⟩\mathbf { u } = \langle - 6 , - 4 \rangle .


A) v=⟨−2413,−1613⟩\mathbf { v } = \left\langle \frac { - 24 } { \sqrt { 13 } } , \frac { - 16 } { \sqrt { 13 } } \right\rangle
B) v=⟨−313,−213⟩\mathbf { v } = \left\langle \frac { - 3 } { \sqrt { 13 } } , \frac { - 2 } { \sqrt { 13 } } \right\rangle
C) v=⟨−813,−413⟩\mathbf { v } = \left\langle \frac { - 8 } { \sqrt { 13 } } , \frac { - 4 } { \sqrt { 13 } } \right\rangle
D) v=⟨−213,213⟩\mathbf { v } = \left\langle \frac { - 2 } { \sqrt { 13 } } , \frac { 2 } { \sqrt { 13 } } \right\rangle
E) v=⟨413,613⟩\mathbf { v } = \left\langle \frac { 4 } { \sqrt { 13 } } , \frac { 6 } { \sqrt { 13 } } \right\rangle

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