Find the Component Form of Vector V Given Its Magnitude $\| \mathbf { v } \| = 7 \text { and the angle it }$

question 66

Multiple Choice

Find the component form of vector v given its magnitude is $\| \mathbf { v } \| = 7 \text { and the angle it }$ makes with the positive $x$ -axis is $\theta = 120 ^ { \circ }$ .

• A) \(\left( \frac { 7 \sqrt { 3 } } { 2 } , \frac { 7 \sqrt { 3 } } { 4 } \right)\)
• B) \(\left( - \frac { \sqrt { 5 } } { 3 } , 7 \frac { \sqrt { 3 } } { 3 } \right)\)
• C) \(\left( \frac { 7 \sqrt { 3 } } { 4 } , \frac { 7 \sqrt { 3 } } { 4 } \right)\)
• D)\(\left( - \frac { 7 } { 2 } , 7 \frac { \sqrt { 3 } } { 2 } \right)\)
• E)\(\left( \frac { 7 } { 2 } , \frac { 7 \sqrt { 5 } } { 2 } \right)\)

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