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

question 24

Multiple Choice

Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, $\operatorname{proj}_{\mathbf{v}} \mathbf{u}$ .
- $$\mathbf { u } = \langle - 9 , - 4 \rangle , \mathbf { v } = \langle 7,1 \rangle$$

• A) \(\langle 7,1 \rangle + \langle - 1,7 \rangle\)
• B) \(\langle - 9.38 , - 1.34 \rangle + \langle 0.38 , - 2.66 \rangle\)
• C) \(\langle 7,1 \rangle + \langle - 16 , - 5 \rangle\)
• D) \(\langle 3.5,0.5 \rangle + \langle - 12.5 , - 23 \rangle\)

---

Definitions:

Uncertain Duration

Describes a time period whose end point is not predetermined or known, often applying to contracts or agreements.

Ownership Interests

The legal rights and claims an individual or entity has over a property or business.

Partition

The division of real property among co-owners so that each owns a specific portion of the property, or the sale of such property and division of proceeds among co-owners.

Voluntary Act

An action undertaken by an individual with full awareness and of free will, without coercion.