Find the Angle Between the Vectors $\mathbf { u }$ And $\mathbf { v }$

question 115

Multiple Choice

Find the angle between the vectors $\mathbf { u }$ and $\mathbf { v }$ . Express your answer in degrees and round to the nearest tenth of a degree.
$$\mathbf { u } = - 6 \mathbf { i } + 9 \mathbf { j } + 2 \mathbf { k } , \mathbf { v } = - 3 \mathbf { i } - 7 \mathbf { j } - 4 \mathbf { k }$$

• A) \(29.3 ^ { \circ }\)
• B) \(34.1 ^ { \circ }\)
• C) \(60.7 ^ { \circ }\)
• D) \(90 ^ { \circ }\)
• E) \(124.1 ^ { \circ }\)

---

Definitions:

Fixed Costs

Costs that do not change with the level of production or sales over a certain period.

Volume Of Activity

A measure of the total amount of work performed or output produced in a specific period.

Margin Of Safety

Margin of safety is the difference between actual or projected sales and the sales level at which the business breaks even.

Contribution Margin

The amount by which a product's selling price exceeds its total variable costs, indicating how much contributes to covering fixed costs and generating profit.