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 requested vector.
- $$\mathbf { v } = - 4 \mathbf { i } - 5 \mathbf { j } + \mathbf { k } , \quad \mathbf { w } = - 5 \mathbf { i } + 3 \mathbf { j } - \mathbf { k }$$
Find a vector orthogonal to both $\mathbf { v }$ and $\mathbf { w }$ .

A) $5 \mathbf { i } - 5 \mathbf { j } + 35 \mathbf { k }$
B) $- 11 \mathbf { i } - 13 \mathbf { j } + 16 \mathbf { k }$
C) $- 2 \mathbf { i } + 9 \mathbf { j } - 9 \mathbf { k }$
D) $2 \mathbf { i } - 9 \mathbf { j } - 37 \mathbf { k }$