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

Multiple Choice

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

A) $\alpha = 14 ^ { \circ } , \beta = 61 ^ { \circ } , \gamma = 137 ^ { \circ }$
B) $\alpha = 42 ^ { \circ } , \beta = 68 ^ { \circ } , \gamma = 124 ^ { \circ }$
C) $\alpha = 40 ^ { \circ } , \beta = 67 ^ { \circ } , \gamma = 125 ^ { \circ }$
D) $\alpha = 33 ^ { \circ } , \beta = 65 ^ { \circ } , \gamma = 129 ^ { \circ }$