Two Vectors U and V Are Given $\mathbf { u } \cdot \mathbf { v }$

question 12

Essay

Two vectors u and v are given. Find their dot product $\mathbf { u } \cdot \mathbf { v }$ . $\mathbf { u } = \langle - 3,0,3 \rangle , \mathbf { v } = \langle 2,4 , \frac { 1 } { 3 } \rangle$

---

Definitions:

Nuts

Edible seeds typically encased in a hard shell, commonly consumed as snacks or used in various recipes.

Berries

Small, pulpy, and often edible fruits that are typically juicy, rounded, brightly colored, and have seeds.

Utility Function

A mathematical expression that represents a consumer's preference ranking over a set of goods and services.

Demand

The quantity of a good or service that consumers are willing and able to purchase at various prices during a given period of time.