Find the Direction Angles of the Vector $$\mathbf { v } = - 6 \mathbf { i } - 4 \mathbf { j } - 12 \mathbf { k }$$

Multiple Choice

Find the direction angles of the vector. Round to the nearest degree, if necessary.
- $$\mathbf { v } = - 6 \mathbf { i } - 4 \mathbf { j } - 12 \mathbf { k }$$

A) $\alpha = 117 ^ { \circ } , \beta = 108 ^ { \circ } , \gamma = 157 ^ { \circ }$
B) $\alpha = 115 ^ { \circ } , \beta = 107 ^ { \circ } , \gamma = 149 ^ { \circ }$
C) $\alpha = 118 ^ { \circ } , \beta = 108 ^ { \circ } , \gamma = 161 ^ { \circ }$
D) $\alpha = 92 ^ { \circ } , \beta = 91 ^ { \circ } , \gamma = 94 ^ { \circ }$