Determine the Values Of $c$ Such That $\| c \mathbf { u } \| = 6$

Multiple Choice

Determine the values of $c$ such that $\| c \mathbf { u } \| = 6$ , where $\mathbf { u } = - 3 \mathbf { i } + 2 \mathbf { j } - 5 \mathbf { k }$ .

A) $c = \pm 6$
B) $c = \pm \frac { 3 \sqrt { 38 } } { 19 }$
C) $c = \pm \frac { \sqrt { 38 } } { 6 }$
D) $c = \pm \frac { 1 } { 6 }$
E) $c = \pm \frac { \sqrt { 38 } } { 38 }$