Choose the One Alternative That Best Completes the Statement or Answers

Choose the one alternative that best completes the statement or answers the question.
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) $\alpha = 113 ^ { \circ } , \beta = 55 ^ { \circ } , \gamma = 140 ^ { \circ }$

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