Find the Direction Angles of the Vector $$\mathbf { v } = - 2 \mathbf { i } + 3 \mathbf { j } - 4 \mathbf { k }$$

Multiple Choice

Find the direction angles of the vector. Round to the nearest degree, if necessary.
- $$\mathbf { v } = - 2 \mathbf { i } + 3 \mathbf { j } - 4 \mathbf { k }$$

A) $\alpha = 119 ^ { \circ } , \beta = 43 ^ { \circ } , \gamma = 166 ^ { \circ }$
B) $\alpha = 115 ^ { \circ } , \beta = 51 ^ { \circ } , \gamma = 147 ^ { \circ }$
C) $\alpha = 112 ^ { \circ } , \beta = 124 ^ { \circ } , \gamma = 138 ^ { \circ }$
D) $\alpha = 113 ^ { \circ } , \beta = 55 ^ { \circ } , \gamma = 140 ^ { \circ }$