Given vectors A and B, which is A-2B?

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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### Vector Subtraction Problem

#### Problem Statement:
Given vectors \(\vec{A}\) and \(\vec{B}\), which is \(\vec{A} - 2\vec{B}\)?

#### Vectors Description:
- \(\vec{A}\) is represented by an arrow pointing directly downward.
- \(\vec{B}\) is represented by an arrow pointing horizontally to the left.

#### Options:
The problem provides four possible resultant vectors, labeled A, B, C, and D, depicted as arrows pointing in various directions.

- **A**: An arrow pointing downward to the right.
- **B**: An arrow pointing directly downward.
- **C**: An arrow pointing downward to the left.
- **D**: An arrow pointing directly to the left.

#### Multiple Choice:
- ○ A
- ○ B
- ○ C
- ○ D

#### Explanation:
To solve this problem, consider the vector \(\vec{A} - 2\vec{B}\). The given vectors should be subtracted according to vector subtraction rules and visually compared to options A, B, C, and D.

Analyze each option considering the direction and magnitude relative to the given vectors to determine the correct result for \(\vec{A} - 2\vec{B}\).
Transcribed Image Text:### Vector Subtraction Problem #### Problem Statement: Given vectors \(\vec{A}\) and \(\vec{B}\), which is \(\vec{A} - 2\vec{B}\)? #### Vectors Description: - \(\vec{A}\) is represented by an arrow pointing directly downward. - \(\vec{B}\) is represented by an arrow pointing horizontally to the left. #### Options: The problem provides four possible resultant vectors, labeled A, B, C, and D, depicted as arrows pointing in various directions. - **A**: An arrow pointing downward to the right. - **B**: An arrow pointing directly downward. - **C**: An arrow pointing downward to the left. - **D**: An arrow pointing directly to the left. #### Multiple Choice: - ○ A - ○ B - ○ C - ○ D #### Explanation: To solve this problem, consider the vector \(\vec{A} - 2\vec{B}\). The given vectors should be subtracted according to vector subtraction rules and visually compared to options A, B, C, and D. Analyze each option considering the direction and magnitude relative to the given vectors to determine the correct result for \(\vec{A} - 2\vec{B}\).
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