Vector A, vector B, and vector C are drawn to scale in the figure below. The vector Ais 5.3 meters long and points 56 degrees counterclockwise from the positive x-axis. The vector B is 4.0 meters long and points along the negative x-axis. The vector C is 2.8 meters long and points 53 degrees clockwise from the negative x-axis.1. What are Ax and Ay, the x and y components of vector A?2. What are Cx and Ay, the x and y components of vector C?3. What are Rx and Ry, the x and y components of the resultant vector R =A +B+C? This diagram illustrates three vectors, \(\vec{A}\), \(\vec{B}\), and \(\vec{C}\), positioned in a two-dimensional coordinate plane with axes labeled \(x\) and \(y\).- **Vector \(\vec{A}\)**: - Shown in orange, this vector points diagonally into the first quadrant from the origin. - The angle between \(\vec{A}\) and the positive \(x\)-axis is denoted by \(\theta_A\).- **Vector \(\vec{B}\)**: - Depicted in red, this vector points horizontally to the left along the negative \(x\)-axis. - It forms a straight line on the negative side of the \(x\)-axis. - **Vector \(\vec{C}\)**: - Shown in blue, this vector points diagonally into the second quadrant from the origin. - The angle between \(\vec{C}\) and the positive \(x\)-axis is represented by \(\theta_C\).Each vector is depicted with an arrow indicating direction, and the respective angles (\(\theta_A\) and \(\theta_C\)) illustrate the vectors’ orientations relative to the positive \(x\)-axis.

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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 A, vector B, and vector C are drawn to scale in the figure below. The vector Ais 5.3 meters long and points 56 degrees counterclockwise from the positive x-axis. The vector B is 4.0 meters long and points along the negative x-axis. The vector C is 2.8 meters long and points 53 degrees clockwise from the negative x-axis.

1. What are Ax and Ay, the x and y components of vector A?

2. What are Cx and Ay, the x and y components of vector C?

3. What are Rx and Ry, the x and y components of the resultant vector R =A +B+C?

This diagram illustrates three vectors, \(\vec{A}\), \(\vec{B}\), and \(\vec{C}\), positioned in a two-dimensional coordinate plane with axes labeled \(x\) and \(y\).

- **Vector \(\vec{A}\)**:
- Shown in orange, this vector points diagonally into the first quadrant from the origin.
- The angle between \(\vec{A}\) and the positive \(x\)-axis is denoted by \(\theta_A\).

- **Vector \(\vec{B}\)**:
- Depicted in red, this vector points horizontally to the left along the negative \(x\)-axis.
- It forms a straight line on the negative side of the \(x\)-axis.

- **Vector \(\vec{C}\)**:
- Shown in blue, this vector points diagonally into the second quadrant from the origin.
- The angle between \(\vec{C}\) and the positive \(x\)-axis is represented by \(\theta_C\).

Each vector is depicted with an arrow indicating direction, and the respective angles (\(\theta_A\) and \(\theta_C\)) illustrate the vectors’ orientations relative to the positive \(x\)-axis.

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