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

question 29

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.
$$\mathbf { u } = 4 \mathbf { i } + 2 \mathbf { j } - \mathbf { k } , \mathbf { v } = 7 \mathbf { i } - 7 \mathbf { j } + 4 \mathbf { k }$$

• A) \(11.6 ^ { \circ }\)
• B) \(11.8 ^ { \circ }\)
• C) \(78.4 ^ { \circ }\)
• D) \(90 ^ { \circ }\)
• E) \(78.2 ^ { \circ }\)

---

Definitions:

Inductive Reasoning

A method of reasoning that involves moving from specific observations to broader generalizations and theories.

Equity

Equity refers to the ownership interest in a company or property, representing the amount of money that would be returned to shareholders if all the assets were liquidated and all the company's debts were paid off.

Tax System

The legal framework governing how taxes are collected and managed by a government, including tax rates and types.

Fallacy Of Logic

An error in reasoning or a flawed argument that undermines the logic of an argument.