The figure shows two vectors, $\vec{A}$ and $\vec{B}$, with $A = 14.6 \, \text{m}$, $B = 4.58 \, \text{m}$, $\theta = 33^\circ$, and $\phi = 38^\circ$. Let $\vec{C} = \vec{B} - 2\vec{A}$.**Task:**Find the magnitude of $\vec{C}$.**Diagram Explanation:**- The diagram displays a coordinate system with vectors $\vec{A}$ and $\vec{B}$.- Vector $\vec{A}$ is shown in a blue color along the positive x-axis, with an angle $\theta = 33^\circ$ above the x-axis.- Vector $\vec{B}$ is shown in a red color, making an angle $\phi = 38^\circ$ above the negative x-axis.**Solution Space:**\[ C = \, \underline{\hspace{2cm}} \, \text{m} \]Report your numerical answer below, assuming three significant figures.[Answer Box]

ce The figure shows two vectors, A and B, with A = 14.6 m, B = 4.58 m, 0 = 33°, and = 38°. Let C = B-2A. Find the magnitude of C. A の TB 0 У C =______ m X Report your numerical answer below, assuming three significant figures.

ce The figure shows two vectors, A and B, with A = 14.6 m, B = 4.58 m, 0 = 33°, and = 38°. Let C = B-2A. Find the magnitude of C. A の TB 0 У C =______ m X Report your numerical answer below, assuming three 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

The figure shows two vectors, $\vec{A}$ and $\vec{B}$, with $A = 14.6 \, \text{m}$, $B = 4.58 \, \text{m}$, $\theta = 33^\circ$, and $\phi = 38^\circ$. Let $\vec{C} = \vec{B} - 2\vec{A}$.

**Task:**
Find the magnitude of $\vec{C}$.

**Diagram Explanation:**
- The diagram displays a coordinate system with vectors $\vec{A}$ and $\vec{B}$.
- Vector $\vec{A}$ is shown in a blue color along the positive x-axis, with an angle $\theta = 33^\circ$ above the x-axis.
- Vector $\vec{B}$ is shown in a red color, making an angle $\phi = 38^\circ$ above the negative x-axis.

**Solution Space:**
\[ C = \, \underline{\hspace{2cm}} \, \text{m} \]

Report your numerical answer below, assuming three significant figures.

[Answer Box]

Expert Solution

Step 1

Given,

A= 14.6m

B= 4.58m

θ=33°

ϕ=38°

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