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

Question 10

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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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