Find the Projection of U onto V $\operatorname { proj } _ { \mathrm { v } } \mathbf { u }$

question 16

Multiple Choice

Find the projection of u onto v.Then write u as the sum of two orthogonal vectors,one of which is $\operatorname { proj } _ { \mathrm { v } } \mathbf { u }$ .​ ​​ $\mathbf { u } = \langle 30,5 \rangle$ $\mathbf { v } = \langle 1 , - 6 \rangle$ ​

• A)​ \(\langle 0,0 \rangle , \langle - 30,5 \rangle\)
• B)​ \(\langle 0,0 \rangle , \langle 30,5 \rangle\)
• C)​ \(\langle 0,0 \rangle , \langle - 1 , - 6 \rangle\)
• D)​ \(\langle 0,0 \rangle , \langle 30 , - 5 \rangle\)
• E)​ \(\langle 0,0 \rangle , \langle 1 , - 6 \rangle\)

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Definitions:

Break-Even Point

The sales level at which the company does not make a profit or incur a loss, denoting a balance between revenue and costs.

Variable Manufacturing Costs

These costs vary directly with the level of production output and include expenses such as raw materials, direct labor, and certain overheads.

Fixed Manufacturing

Costs that do not vary with the level of production or sales, associated with the operation of a production facility.

Break-Even Level of Sales

The sales amount at which a company's total revenues equal its total expenses, resulting in no net profit or loss.