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6. Two vectors are shown in each diagram. a. On the left diagram, using the graphical method of addition, show how to construct A+B. b. On the right diagram, using the graphical method of addition, show how to construct B-A. c. Determine 3A+B in unit-vector notation. 3.00 m 3.00 m 3,00 m 30.0 3.00 m 30.0

6. Two vectors are shown in each diagram. a. On the left diagram, using the graphical method of addition, show how to construct A+B. b. On the right diagram, using the graphical method of addition, show how to construct B-A. c. Determine 3A+B in unit-vector notation. 3.00 m 3.00 m 3,00 m 30.0 3.00 m 30.0

College Physics
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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Transcription and Explanation for Educational Website: --- **Vector Addition and Subtraction** 6. Two vectors are shown in each diagram. a. On the left diagram, using the graphical method of addition, show how to construct \(\vec{A} + \vec{B}\). b. On the right diagram, using the graphical method of addition, show how to construct \(\vec{B} - \vec{A}\). c. Determine \(3\vec{A} + \vec{B}\) in unit-vector notation. **Diagrams Explanation:** - **Left Diagram:** - Illustrates two vectors, \(\vec{A}\) and \(\vec{B}\), in a coordinate system with an origin labeled \(O\). - \(\vec{A}\) has a magnitude of 3.00 m at an angle of 30.0° from the x-axis. - \(\vec{B}\) is aligned along the y-axis with a magnitude of 3.00 m. - **Right Diagram:** - Repeats the vectors \(\vec{A}\) and \(\vec{B}\), each originating from the origin. - Configuration is the same as the left diagram to illustrate vector subtraction \(\vec{B} - \vec{A}\). The task involves using these diagrams to visually add or subtract given vectors using the graphical method. For part (c), the goal is to compute a linear combination of these vectors in unit-vector notation. ---
Transcribed Image Text:Transcription and Explanation for Educational Website: --- **Vector Addition and Subtraction** 6. Two vectors are shown in each diagram. a. On the left diagram, using the graphical method of addition, show how to construct \(\vec{A} + \vec{B}\). b. On the right diagram, using the graphical method of addition, show how to construct \(\vec{B} - \vec{A}\). c. Determine \(3\vec{A} + \vec{B}\) in unit-vector notation. **Diagrams Explanation:** - **Left Diagram:** - Illustrates two vectors, \(\vec{A}\) and \(\vec{B}\), in a coordinate system with an origin labeled \(O\). - \(\vec{A}\) has a magnitude of 3.00 m at an angle of 30.0° from the x-axis. - \(\vec{B}\) is aligned along the y-axis with a magnitude of 3.00 m. - **Right Diagram:** - Repeats the vectors \(\vec{A}\) and \(\vec{B}\), each originating from the origin. - Configuration is the same as the left diagram to illustrate vector subtraction \(\vec{B} - \vec{A}\). The task involves using these diagrams to visually add or subtract given vectors using the graphical method. For part (c), the goal is to compute a linear combination of these vectors in unit-vector notation. ---
Expert Solution
Step 1

The magnitude of A→ is 3 m and it is directed 30o with respect to positive X-axis.

The magnitude of B→ is 3 m and it is directed along the positive Y-axis.

Thus, the angular separation of A→ and B→ is 60o

And the angular separation of B→ and -A→ is 120o 

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