### Vector Analysis Task#### Image DescriptionThe image is a screenshot from an educational website (mylabmastering.pearson.com) displaying a vector illustration and a related physics question. #### Diagram ExplanationThe figure presents a coordinate system with three vectors:1. **Vector \(\vec{A}\):** - Magnitude: 44.0 units - Direction: 28.0° above the positive x-axis2. **Vector \(\vec{B}\):** - Magnitude: 26.5 units - Direction: 56.0° above the negative x-axis3. **Vector \(\vec{C}\):** - Magnitude: 31.0 units - Points directly downward along the negative y-axis#### Problem Statement**Part A:** Given the vectors \(\vec{A}\) and \(\vec{B}\) shown in the figure, determine the magnitude of \(\vec{B} - \vec{A}\).- Express your answer using three significant figures.**Solution Provided:**The magnitude of \(|\vec{B} - \vec{A}|\) is calculated as 22.7 units.#### Additional Features- There is an interface allowing for answer submission, with options to submit, view previous answers, or request further assistance.- A calculator-style input box is available for entering answers.### Educational ContextThis exercise helps students practice vector subtraction and the calculation of magnitudes in a coordinate system, strengthening their understanding of vector operations in physics.

Answered: Image /qna-images/answer/9da3ed03-07ce-4007-9a87-29fca7d923e0.jpg

Part A Given the vectors A and B shown in the figure ((Figure 1)), determine the magnitude of B - A. Express your answer using three significant figures. ΑΣΦ B-A= 22.7 Submit Previous Answers Request Answer BE ? units

Part A Given the vectors A and B shown in the figure ((Figure 1)), determine the magnitude of B - A. Express your answer using three significant figures. ΑΣΦ B-A= 22.7 Submit Previous Answers Request Answer BE ? units

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

### Vector Analysis Task

#### Image Description

The image is a screenshot from an educational website (mylabmastering.pearson.com) displaying a vector illustration and a related physics question.

#### Diagram Explanation

The figure presents a coordinate system with three vectors:

1. **Vector \(\vec{A}\):**
- Magnitude: 44.0 units
- Direction: 28.0° above the positive x-axis

2. **Vector \(\vec{B}\):**
- Magnitude: 26.5 units
- Direction: 56.0° above the negative x-axis

3. **Vector \(\vec{C}\):**
- Magnitude: 31.0 units
- Points directly downward along the negative y-axis

#### Problem Statement

**Part A:**

Given the vectors \(\vec{A}\) and \(\vec{B}\) shown in the figure, determine the magnitude of \(\vec{B} - \vec{A}\).

- Express your answer using three significant figures.

**Solution Provided:**

The magnitude of \(|\vec{B} - \vec{A}|\) is calculated as 22.7 units.

#### Additional Features

- There is an interface allowing for answer submission, with options to submit, view previous answers, or request further assistance.
- A calculator-style input box is available for entering answers.

### Educational Context

This exercise helps students practice vector subtraction and the calculation of magnitudes in a coordinate system, strengthening their understanding of vector operations in physics.

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Step 3: Calculate the magnitude of B-A

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