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

Question 74

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\quad v = \left\langle \frac { - 36 } { \sqrt { 61 } } , \frac { - 30 } { \sqrt { 61 } } \right\rangle
B) v=661,561v = \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\mathbf { v } = \left\langle \frac { 5 } { \sqrt { 61 } } , \frac { 6 } { \sqrt { 61 } } \right\rangle

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