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

question 179

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) \(\mathrm { u } _ { 1 } = 1.000 \mathrm { v }\)
• \(u _ { 2 } = - 4.000 \mathrm { w }\)

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Definitions:

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