**Vector Addition and Resultant Vector****Question:**Three vectors **A**, **B**, and **C** have the following \( x \) and \( y \) components:- \( A_x = 1 \, m \)- \( A_y = 0 \, m \)- \( B_x = 1 \, m \)- \( B_y = 1 \, m \)- \( C_x = 0 \, m \)- \( C_y = -1 \, m \)According to the graph, how are **A**, **B**, and **C** combined to result in the vector **D**?**Diagram Description:**The diagram shows a vector **D** represented by an arrow pointing diagonally upward and to the right. There are components or additional vectors shown, breaking down or summarizing the resultant vector **D**.**Answer Choices:**A) \( \vec{D} = \vec{A} - \vec{B} - \vec{C} \)B) \( \vec{D} = \vec{A} - \vec{B} + \vec{C} \)C) \( \vec{D} = \vec{A} + \vec{B} + \vec{C} \)D) \( \vec{D} = \vec{A} + \vec{B} - \vec{C} \)E) \( \vec{D} = -\vec{A} + \vec{B} + \vec{C} \)**Explanation:**To better understand how the vectors combine, let’s analyze their components.1. **Vector \( \vec{A} \)**: - \( A_x = 1 \) - \( A_y = 0 \) - Therefore, \( \vec{A} \) has components \( (1, 0) \).2. **Vector \( \vec{B} \)**: - \( B_x = 1 \) - \( B_y = 1 \) - Therefore, \( \vec{B} \) has components \( (1, 1) \).3. **Vector \( \vec{C} \)**: - \( C_x = 0 \) - \( C_y = -1 \) - Therefore, \( \vec{

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8. 48. Three vectors A, B, and C have the following x and y components: A: = 1 m, A, = 0 m, B: = 1 m, B, = 1 m, &=0m, C, =-1 m According to the graph, how are A, B , and C combined to result in the vector D? (SectionDef: Section 1-5 and 1-6) %3D D А) D - A - B -с B) D B + C

8. 48. Three vectors A, B, and C have the following x and y components: A: = 1 m, A, = 0 m, B: = 1 m, B, = 1 m, &=0m, C, =-1 m According to the graph, how are A, B , and C combined to result in the vector D? (SectionDef: Section 1-5 and 1-6) %3D D А) D - A - B -с B) D B + C

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 65PQ

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