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

question 10

Multiple Choice

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

• A) \(\mathbf { v } = \left\langle \frac { - 20 } { \sqrt { 41 } } , \frac { 16 } { \sqrt { 41 } } \right\rangle\)
• B) \(\mathbf { v } = \left\langle \frac { - 5 } { \sqrt { 41 } } , \frac { 4 } { \sqrt { 41 } } \right\rangle\)
• C) \(\mathbf { v } = \left\langle \frac { - 4 } { \sqrt { 41 } } , \frac { 1 } { \sqrt { 41 } } \right\rangle\)
• D) \(\mathbf { v } = \left\langle \frac { - 1 } { \sqrt { 41 } } , \frac { 1 } { \sqrt { 41 } } \right\rangle\)
• E) \(\mathbf { v } = \left\langle \frac { - 4 } { \sqrt { 41 } } , \frac { 5 } { \sqrt { 41 } } \right\rangle\)

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