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

A) $i - j + 7 k$
B) $i + j + 2 k$
C) $4 \mathbf { i } - 4 \mathbf { j } - 3 \mathbf { k }$
D) $- \mathbf { i } + \mathbf { j } + 2 \mathbf { k }$