Find the Unit Vector in the Direction of the Given $\mathbf { u } = - 3 \mathbf { i } - 2 \mathbf { j }$

Multiple Choice

Find the unit vector in the direction of the given vector. Write your answer in the indicated form.
-Let $\mathbf { u } = - 3 \mathbf { i } - 2 \mathbf { j }$ . Find the unit vector in the direction of $\mathbf { u }$ , and write your answer as a linear combination of the standard unit vectors $\mathbf { i }$ and $\mathbf { j }$ .

A) $\frac { - 3 } { \sqrt { 13 } } \mathrm { i } + \frac { 2 } { \sqrt { 13 } } \mathrm { j }$
B) $- \frac { 3 } { 13 } i - \frac { 2 } { 13 } j$
C) $\frac { - 3 } { \sqrt { 13 } } \mathrm { i } - \frac { 2 } { \sqrt { 13 } } \mathrm { j }$
D) $- \frac { 3 } { 5 } i - \frac { 2 } { 5 } j$