Write the Vector V in the Form Ai + Bj $$\| \mathbf { v } \| = 15 , \alpha = 210 ^ { \circ }$$

Write the vector v in the form ai + bj, given its magnitude v and the angle  it makes with the positive x-axis.
- $$\| \mathbf { v } \| = 15 , \alpha = 210 ^ { \circ }$$

A) $\mathbf { v } = 15 \left( \frac { 15 \sqrt { 3 } } { 2 } \mathbf { i } - \frac { 15 } { 2 } \mathbf { j } \right)$
B) $v = 15 \left( - \frac { \sqrt { 2 } } { 2 } i - \frac { \sqrt { 2 } } { 2 } j \right)$
C) $\mathbf { v } = 15 \left( - \frac { 15 \sqrt { 3 } } { 2 } \mathbf { i } - \frac { 1 } { 2 } \mathbf { j } \right)$
D) $\mathbf { v } = 15 \left( - \frac { 15 } { 2 } \mathbf { i } - \frac { 15 \sqrt { 3 } } { 2 } \mathbf { j } \right)$

Correct Answer:

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