y 37.0° Ā (12.0 m) 60.0° 40.0° Č (6.0 m) В (15.0 m) Compute the z and y components of vector Á. Express your answers in meters to three siginificant figures. Enter your answers separated by a comma. 1. Compute the z and y components of vector B. Express your answers in meters to three siginificant figures. Enter your answers separated by a comma. 2. Compute the z and y components of vector C. Express your answers in meters to three siginificant figures. Enter your answers separated by a comma. 3.

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 Components Problem

### Diagram Description
The diagram shows three vectors: \(\vec{A}\), \(\vec{B}\), and \(\vec{C}\), positioned on an xy-plane. The angles and magnitudes of the vectors are as follows:

- \(\vec{A}\) has a magnitude of 12.0 meters and makes an angle of 37.0° with the x-axis.
- \(\vec{B}\) has a magnitude of 15.0 meters and makes an angle of 40.0° with the x-axis.
- \(\vec{C}\) has a magnitude of 6.0 meters and makes an angle of 60.0° with the negative x-axis.

### Tasks

1. **Compute the x and y components of vector \(\vec{A}\).**
   - *Express your answers in meters to three significant figures. Enter your answers separated by a comma.*

2. **Compute the x and y components of vector \(\vec{B}\).**
   - *Express your answers in meters to three significant figures. Enter your answers separated by a comma.*

3. **Compute the x and y components of vector \(\vec{C}\).**
   - *Express your answers in meters to three significant figures. Enter your answers separated by a comma.*
Transcribed Image Text:## Vector Components Problem ### Diagram Description The diagram shows three vectors: \(\vec{A}\), \(\vec{B}\), and \(\vec{C}\), positioned on an xy-plane. The angles and magnitudes of the vectors are as follows: - \(\vec{A}\) has a magnitude of 12.0 meters and makes an angle of 37.0° with the x-axis. - \(\vec{B}\) has a magnitude of 15.0 meters and makes an angle of 40.0° with the x-axis. - \(\vec{C}\) has a magnitude of 6.0 meters and makes an angle of 60.0° with the negative x-axis. ### Tasks 1. **Compute the x and y components of vector \(\vec{A}\).** - *Express your answers in meters to three significant figures. Enter your answers separated by a comma.* 2. **Compute the x and y components of vector \(\vec{B}\).** - *Express your answers in meters to three significant figures. Enter your answers separated by a comma.* 3. **Compute the x and y components of vector \(\vec{C}\).** - *Express your answers in meters to three significant figures. Enter your answers separated by a comma.*
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