Write a Vector in Terms of Its Magnitude and Direction $$\| \mathbf { v } \| = 7 , \quad \theta = 225 ^ { \circ }$$

Multiple Choice

Write a Vector in Terms of Its Magnitude and Direction
- $$\| \mathbf { v } \| = 7 , \quad \theta = 225 ^ { \circ }$$

A) $\mathbf { v } = - \frac { 7 \sqrt { 2 } } { 2 } \mathrm { i } - \frac { 7 \sqrt { 2 } } { 2 } \mathrm { j }$
B) $v = - \frac { 7 \sqrt { 3 } } { 2 } i - \frac { 7 } { 2 } j$
C) $v = - \frac { 7 } { 2 } \mathbf { i } - \frac { 7 \sqrt { 3 } } { 2 } \mathrm { j }$
D) $v = \frac { 7 \sqrt { 2 } } { 2 } i + \frac { 7 \sqrt { 2 } } { 2 } j$