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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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All of the vectors in the figure below have a magnitude of 5. Which vector has a y-component equal to -5 sinθ? (If there is more than one, you must select all of them.)

 

The image is a diagram showing a coordinate system with four vectors, labeled \(\vec{A}\), \(\vec{B}\), \(\vec{C}\), and \(\vec{D}\), originating from the origin where the x- and y-axes intersect. - **Axes**: The diagram features a typical Cartesian coordinate plane with the x-axis running horizontally and the y-axis running vertically. - **Vectors**: - \(\vec{A}\) is directed at an angle \(\theta\) from the positive y-axis towards the positive x-axis. - \(\vec{B}\) points at an angle \(\theta\) from the negative y-axis towards the positive x-axis. - \(\vec{C}\) is directed at an angle \(\theta\) from the negative y-axis towards the negative x-axis. - \(\vec{D}\) points at an angle \(\theta\) from the positive y-axis towards the negative x-axis. Each vector forms an angle \(\theta\) with the adjacent axes, demonstrating symmetry around the origin across different quadrants in the coordinate system. This kind of diagram can be used to illustrate concepts like vector addition, direction, or even angles in trigonometry and physics.
Transcribed Image Text:The image is a diagram showing a coordinate system with four vectors, labeled \(\vec{A}\), \(\vec{B}\), \(\vec{C}\), and \(\vec{D}\), originating from the origin where the x- and y-axes intersect. - **Axes**: The diagram features a typical Cartesian coordinate plane with the x-axis running horizontally and the y-axis running vertically. - **Vectors**: - \(\vec{A}\) is directed at an angle \(\theta\) from the positive y-axis towards the positive x-axis. - \(\vec{B}\) points at an angle \(\theta\) from the negative y-axis towards the positive x-axis. - \(\vec{C}\) is directed at an angle \(\theta\) from the negative y-axis towards the negative x-axis. - \(\vec{D}\) points at an angle \(\theta\) from the positive y-axis towards the negative x-axis. Each vector forms an angle \(\theta\) with the adjacent axes, demonstrating symmetry around the origin across different quadrants in the coordinate system. This kind of diagram can be used to illustrate concepts like vector addition, direction, or even angles in trigonometry and physics.
Expert Solution
Step 1

Magnitude of vector A = 5 Magnitude of vector B = 5 Magnitude of vector C = 5 Magnitude of vector D = 5 

 

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