Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Find the requested vector.
- $$\mathbf { v } = 4 \mathbf { i } + 2 \mathbf { j } + \mathbf { k } , \quad \mathbf { u } = - 2 \mathbf { i } + 2 \mathbf { j } - 2 \mathbf { k }$$
Find a vector orthogonal to both $\mathbf { v }$ and $\mathbf { u }$ .

A) $- 5 i + 9 j + 2 k$
B) $5 \mathbf { i } - 9 \mathbf { j } + 9 \mathbf { k }$
C) $4 \mathrm { i } - 12 \mathrm { j } - 16 \mathrm { k }$
D) $- 6 i + 6 j + 12 k$