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Find the Vector v\mathbf { v } That Has a Magnitude of 4 and Is in the Magnitude

Question 10

Multiple Choice

Find the vector v\mathbf { v } that has a magnitude of 4 and is in the same direction as u\mathbf { u } , where u=5,4\mathbf { u } = \langle - 5,4 \rangle .


A) v=2041,1641\mathbf { v } = \left\langle \frac { - 20 } { \sqrt { 41 } } , \frac { 16 } { \sqrt { 41 } } \right\rangle
B) v=541,441\mathbf { v } = \left\langle \frac { - 5 } { \sqrt { 41 } } , \frac { 4 } { \sqrt { 41 } } \right\rangle
C) v=441,141\mathbf { v } = \left\langle \frac { - 4 } { \sqrt { 41 } } , \frac { 1 } { \sqrt { 41 } } \right\rangle
D) v=141,141\mathbf { v } = \left\langle \frac { - 1 } { \sqrt { 41 } } , \frac { 1 } { \sqrt { 41 } } \right\rangle
E) v=441,541\mathbf { v } = \left\langle \frac { - 4 } { \sqrt { 41 } } , \frac { 5 } { \sqrt { 41 } } \right\rangle

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