Solve the Problem $\mathbf { u } = - 2 \mathbf { i } + 7 \mathbf { j } , \mathbf { v } = 2 \mathbf { i } + 3 \mathbf { j }$

Multiple Choice

Solve the problem.
-Let $\mathbf { u } = - 2 \mathbf { i } + 7 \mathbf { j } , \mathbf { v } = 2 \mathbf { i } + 3 \mathbf { j }$ , and $\mathbf { w } = \mathbf { i } - \mathbf { j }$ . Write $\mathbf { u } = \mathbf { u } _ { 1 } + \mathbf { u } _ { 2 }$ where $\mathbf { u } _ { 1 }$ is parallel to $\mathbf { v }$ and $\mathbf { u } _ { 2 }$ is parallel to $\mathbf { w }$ .

A) $\mathbf { u } _ { 1 } = 3 \mathrm { v }$
$u _ { 2 } = 2 w$
B) $\mathbf { u } _ { 1 } = - 4 \mathrm { v }$
$u _ { 2 } = - 21 w$
C) $\mathbf { u } _ { 1 } = 1.000 \mathbf { v }$
$\mathbf { u } _ { 2 } = - 0.2500 \mathbf { w }$
D) $\mathrm { u } _ { 1 } = 1.000 \mathrm { v }$
$u _ { 2 } = - 4.000 \mathrm { w }$