**Educational Website: Vector Components and Magnitude**### Example Problem: Vector Components and Magnitude#### Given Information:- A vector \(\mathbf{A}\) has a magnitude of 31 meters and points in the positive z direction.#### Task:- Find the components of the vector \(\mathbf{A}\) and its magnitude.### Part A:**Find the z-component of the vector \(\mathbf{A}\)**Express your answer using two significant figures.\[A_z = \_\_\_\_\_ \text{ m}\] Submit#### Part B:**Find the magnitude of the vector \(\mathbf{A}\)**Express your answer using two significant figures.\[|\mathbf{A}| = \_\_\_\_\_ \text{ m}\] Submit**Explanation:**Since vector \(\mathbf{A}\) points in the positive z-direction and has a magnitude of 31 meters:- The z-component \(A_z\) will be equal to the magnitude of the vector \(\mathbf{A}\), which is 31 meters.- The components in the x and y directions will be zero.So, in conclusion:\[ A_z = 31 \, \text{m} \]\[ |\mathbf{A}| = 31 \, \text{m} \]You can practice these steps using the input fields provided and check your answers by clicking the "Submit" button.

Answered: Image /qna-images/answer/45c7efcd-e014-476e-b29d-4194402b0707.jpg

The vector -5.2A has a magnitude of 31 m and points in the positive z direction. nns N A Express your answer using two significant figures. A, = Submit Request Answer Part B Find the magnitude of the vector A Express your answer using two significant figures.

The vector -5.2A has a magnitude of 31 m and points in the positive z direction. nns N A Express your answer using two significant figures. A, = Submit Request Answer Part B Find the magnitude of the vector A Express your answer using two significant figures.

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

**Educational Website: Vector Components and Magnitude**

### Example Problem: Vector Components and Magnitude

#### Given Information:
- A vector \(\mathbf{A}\) has a magnitude of 31 meters and points in the positive z direction.

#### Task:
- Find the components of the vector \(\mathbf{A}\) and its magnitude.

### Part A:
**Find the z-component of the vector \(\mathbf{A}\)**

Express your answer using two significant figures.

\[
A_z = \_\_\_\_\_ \text{ m}
\]

<div style="display: flex; align-items: center;">
<input type="text" placeholder="Enter your answer" style="width: 200px; margin-right: 10px;">
<button>Submit</button>
</div>

#### Part B:
**Find the magnitude of the vector \(\mathbf{A}\)**

Express your answer using two significant figures.

\[
|\mathbf{A}| = \_\_\_\_\_ \text{ m}
\]

<div style="display: flex; align-items: center;">
<input type="text" placeholder="Enter your answer" style="width: 200px; margin-right: 10px;">
<button>Submit</button>
</div>

**Explanation:**

Since vector \(\mathbf{A}\) points in the positive z-direction and has a magnitude of 31 meters:
- The z-component \(A_z\) will be equal to the magnitude of the vector \(\mathbf{A}\), which is 31 meters.
- The components in the x and y directions will be zero.

So, in conclusion:
\[ A_z = 31 \, \text{m} \]
\[ |\mathbf{A}| = 31 \, \text{m} \]

You can practice these steps using the input fields provided and check your answers by clicking the "Submit" button.

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