Use the Given Vectors to Find the Indicated Expression $$\mathbf { v } = - 3 \mathbf { i } + 2 \mathbf { j } + \mathbf { k } , \quad \mathbf { w } = - 4 \mathbf { i } + 3 \mathbf { j } - \mathbf { k }$$

Multiple Choice

Use the given vectors to find the indicated expression.
- $$\mathbf { v } = - 3 \mathbf { i } + 2 \mathbf { j } + \mathbf { k } , \quad \mathbf { w } = - 4 \mathbf { i } + 3 \mathbf { j } - \mathbf { k }$$
Find $( - 3 \mathbf { v } ) \times \mathbf { w }$ .

A) $3 \mathbf { i } + 5 \mathbf { j } + 35 \mathbf { k }$
B) $15 \mathbf { i } + 21 \mathbf { j } + 3 \mathbf { k }$
C) $- 15 i + 27 j - 3 k$
D) $7 \mathbf { i } + 9 \mathbf { j } - 33 \mathbf { k }$