Find the Dot Product Of $\mathbf { u }$ And $\mathbf { v }$

question 55

Multiple Choice

Find the dot product of $\mathbf { u }$ and $\mathbf { v }$ .
$$\mathbf { u } = 9 \mathbf { i } - 5 \mathbf { j } - 9 \mathbf { k } , \mathbf { v } = - 2 \mathbf { i } + 6 \mathbf { j } + 5 \mathbf { k }$$

• A) \(- 93\)
• B) 4
• C) \(- 18 \mathbf { i } - 30 \mathbf { j } - 45 \mathbf { k }\)
• D) \(- 3\)
• E) \(7 \mathbf { i } + \mathbf { j } - 4 \mathbf { k }\)

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Definitions:

Manufacturing Overhead

Indirect costs associated with manufacturing, such as utilities, maintenance, and factory equipment depreciation, not directly tied to specific units of product.

Fixed Portion

The segment of total costs that does not change with changes in the activity level.

Cost Behavior

Describes how various production expenses vary with adjustments in production output.

Fixed Costs

Expenses that do not vary with production volume, such as rent, salaries, and insurance.