Additional Concepts
-$\mathbf { u } = 9 \mathbf { i } + \mathbf { j } , \mathbf { v } = - 6 \mathbf { i } - 8 \mathbf { j } , \mathbf { w } = \mathbf { i } - 6 \mathbf { j }$; Find $\mathbf { v } - ( \mathbf { u } - \mathbf { w } )$.
A) $- 14 \mathbf { i } - 15 \mathrm { j }$
B) $- 16 \mathbf { i } - 3 \mathbf { j }$
C) $- 14 i + 15 j$
D) $4 \mathrm { i } - 13 \mathrm { j }$ Find the magnitude v and direction angle θ, to the nearest tenth of a degree, for the given vector v.

Question

Quizplus · Accepted Answer

To find $\mathbf { v } - ( \mathbf { u } - \mathbf { w } )$, first calculate $\mathbf { u } - \mathbf { w }$ which is $9\mathbf { i } + \mathbf { j } - (\mathbf { i } - 6\mathbf { j }) = 8\mathbf { i } + 7\mathbf { j }$. Then, subtract this result from $\mathbf { v }$, which gives $-6\mathbf { i } - 8\mathbf { j } - (8\mathbf { i } + 7\mathbf { j }) = -14\mathbf { i } - 15\mathbf { j }$.

Additional Concepts - ; Find v−(u−w)\mathbf { v } - ( \mathbf { u } - \mathbf { w } )v−(u−w)

Additional Concepts
- ; Find $\mathbf { v } - ( \mathbf { u } - \mathbf { w } )$