**Vector Addition Exercise**1. Write a vector equation for \(\vec{A}\) for each arrangement of vectors. For example, if adding \(\vec{B}\) and \(\vec{C}\) gives \(\vec{A}\), then write \(\vec{A} = \vec{B} + \vec{C}\). Each answer you give should start with \(\vec{A} =\)**Diagrams Explanation:****a)**- This diagram forms a closed triangle with vectors \(\vec{B}\), \(\vec{C}\), and \(\vec{A}\).- Vectors \(\vec{B}\) and \(\vec{C}\) are arranged tail-to-head, with \(\vec{A}\) connecting the tail of \(\vec{B}\) to the head of \(\vec{C}\).**b)**- Vectors \(\vec{A}\) and \(\vec{B}\) form an open triangle with the head of \(\vec{A}\) touching the tail of \(\vec{C}\).- \(\vec{C}\) completes a return to the endpoint of \(\vec{B}\).**c)**- This triangle consists of vectors \(\vec{A}\), \(\vec{B}\), and \(\vec{C}\).- The vectors \(\vec{B}\) and \(\vec{C}\) are aligned such that their ends meet, and \(\vec{A}\) completes the triangle.**d)**- A quadrilateral is formed using vectors \(\vec{A}\), \(\vec{B}\), \(\vec{C}\), \(\vec{D}\), and \(\vec{E}\).- \(\vec{A}\), \(\vec{B}\), \(\vec{C}\), and \(\vec{D}\) form a continuous pathway, ending at \(\vec{E}\).**e)**- A closed figure composed of vectors \(\vec{A}\), \(\vec{B}\), and \(\vec{C}\).- Vectors are arranged tip-to-tail, forming a triangle.For each diagram, determine how \(\vec{A}\) is expressed as a combination of the other vectors using vector addition principles.

1. Write a vector equation for A for each arrangement of vectors. For example, if adding B and Č gives Ã, then write Ã = B + Č. Each answer you give should start with A = .. a) b) A A d) E c) A B. В e) B. B.

1. Write a vector equation for A for each arrangement of vectors. For example, if adding B and Č gives Ã, then write Ã = B + Č. Each answer you give should start with A = .. a) b) A A d) E c) A B. В e) B. B.

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 Addition Exercise**

1. Write a vector equation for \(\vec{A}\) for each arrangement of vectors. For example, if adding \(\vec{B}\) and \(\vec{C}\) gives \(\vec{A}\), then write \(\vec{A} = \vec{B} + \vec{C}\). Each answer you give should start with \(\vec{A} =\)

**Diagrams Explanation:**

**a)**
- This diagram forms a closed triangle with vectors \(\vec{B}\), \(\vec{C}\), and \(\vec{A}\).
- Vectors \(\vec{B}\) and \(\vec{C}\) are arranged tail-to-head, with \(\vec{A}\) connecting the tail of \(\vec{B}\) to the head of \(\vec{C}\).

**b)**
- Vectors \(\vec{A}\) and \(\vec{B}\) form an open triangle with the head of \(\vec{A}\) touching the tail of \(\vec{C}\).
- \(\vec{C}\) completes a return to the endpoint of \(\vec{B}\).

**c)**
- This triangle consists of vectors \(\vec{A}\), \(\vec{B}\), and \(\vec{C}\).
- The vectors \(\vec{B}\) and \(\vec{C}\) are aligned such that their ends meet, and \(\vec{A}\) completes the triangle.

**d)**
- A quadrilateral is formed using vectors \(\vec{A}\), \(\vec{B}\), \(\vec{C}\), \(\vec{D}\), and \(\vec{E}\).
- \(\vec{A}\), \(\vec{B}\), \(\vec{C}\), and \(\vec{D}\) form a continuous pathway, ending at \(\vec{E}\).

**e)**
- A closed figure composed of vectors \(\vec{A}\), \(\vec{B}\), and \(\vec{C}\).
- Vectors are arranged tip-to-tail, forming a triangle.

For each diagram, determine how \(\vec{A}\) is expressed as a combination of the other vectors using vector addition principles.

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