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

question 253

Multiple Choice

Use the given vectors to find the indicated expression.
- $$\mathbf { v } = - 4 \mathbf { i } + 2 \mathbf { j } - 3 \mathbf { k } , \quad \mathbf { u } = - 4 \mathbf { i } - 3 \mathbf { j } + 4 \mathbf { k }$$
Find $\mathbf { v } \times ( - 5 \mathbf { u } )$ .

• A) \(115 \mathbf { i } + 155 \mathbf { j } - 50 \mathbf { k }\)
• B) \(5 \mathbf { i } - 140 \mathbf { j } - 100 \mathbf { k }\)
• C) \(- 5 \mathbf { i } + 140 \mathbf { j } + 100 \mathbf { k }\)
• D) \(- 1 \mathbf { i } - 0 \mathbf { j } + 20 \mathbf { k }\)

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Definitions:

Original Investment

The initial amount of money invested in a project or security.

Conditional Sale Contracts

agreement for the sale of goods where the price is payable in instalments and the goods remain the property of the seller until the full price is paid.

Purchase Price

Purchase price is the amount of money paid to buy goods, services, or assets.

Combined Equivalent

The equivalent total effect or value when multiple factors or values are considered together.