Write the Vector U as a Sum of Two Orthogonal $\operatorname{proj}_{\mathbf{v}} \mathbf{u}$

question 111

Multiple Choice

Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, $\operatorname{proj}_{\mathbf{v}} \mathbf{u}$ .
- $\mathbf { u } = \langle 9,8 \rangle , \mathbf { v } = \langle 1,2 \rangle$

• A) \(\langle 0.5,1 \rangle + \langle 8.5,7 \rangle\)
• B) \(\langle 1,2 \rangle + \langle - 2,1 \rangle\)
• C) \(\langle 5,10 \rangle + \langle 4 , - 2 \rangle\)
• D) \(\langle 1,2 \rangle + \langle 8,6 \rangle\)

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Definitions:

Break-Even Point

The level of sales at which total revenues equal total costs, resulting in no profit or loss for the business.

Dollar Sales

A metric that represents the total monetary value of all sales transactions within a specific period, often used in retail and sales analysis.

Target Profit

The desired level of profit that a business plans to achieve within a specific period.

Contribution Format

A format for income statements where all variable expenses are subtracted from sales to calculate contribution margin, which then has fixed expenses subtracted to determine net operating income.