Let $\mathbf { w }$ Be a Vector with Initial Point $( 2,1 )$

question 66

Multiple Choice

Let $\mathbf { w }$ be a vector with initial point $( 2,1 )$ and terminal point $( 9 , - 3 )$ . Write $\mathbf { w }$ as a linear combination of the standard unit vectors $\mathbf { i }$ and $\mathbf { j }$ .

• A) \(\mathbf { w } = \mathbf { i } + 12 \mathbf { j }\)
• B) \(\mathbf { w } = - 5 \mathbf { i } + 8 \mathbf { j }\)
• C) \(\mathbf { w } = 7 \mathbf { i } - 4 \mathbf { j }\)
• D) \(\mathbf { w } = 11 \mathbf { i } + 4 \mathbf { j }\)
• E) \(\mathbf { w } = 3 \mathbf { i } - 12 \mathbf { j }\)

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Definitions:

Initial Cash Balance

The amount of cash a company has at the beginning of a financial period.

Speculative Motive

The intention to hold cash or other assets in anticipation of profit from fluctuations in their prices or exchange rates.

Investment Opportunities

Options available to individuals and firms to invest capital with the intent to generate returns.