Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table. C+A = ??? List the magnitude and direction of each vector. Use a +/- sign for direction (left and down are -). Scale: 1 square = 20 km along edge %3D Vector y TD C 20 -40 A A -80 Resultant 20 -120 Use table values, the diagram, SOH CAH TOA, and the Pythagorean theorem to determine the magnitude and CCW direction of R. Magnitude: km Check R Answers Direction: ° CCW

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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**Title: Vector Addition and Resultant Calculation**

**Instructions:**
Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. 

**Equation:**
C + A = ???

**Scale:**
1 square = 20 km along each edge

**Diagram Explanation:**
The diagram consists of a grid where each square represents 20 km. Various vectors (A to I) are represented with arrows in different directions. Each vector starts at one point on the grid and extends to another, indicating a direction and magnitude.

**Vector Table:**
List the magnitude and direction of each vector using a +/- sign for direction (left and down are -).

| Vector | x  | y   |
|--------|----|-----|
| C      | 20 | -40 |
| A      | 0  | -80 |
| Resultant | 20 | -120 |

**Calculation:**
Use table values, the diagram, SOH CAH TOA, and the Pythagorean theorem to determine the magnitude and CCW (counterclockwise) direction of R.

**Vector R:**
Illustrated with an arrow indicating the direction of the resultant vector.

**Tasks:**
- Calculate the Magnitude: ______ km
- Determine the Direction: ______ ° CCW

**Check Answers:** 
Use the provided input fields to verify your calculated magnitude and direction for accuracy.

**Note:**
The illustration of Vector R and the table are tools to assist in understanding vector addition and resultant vector calculation. Ensure you use trigonometric methods and the Pythagorean theorem for precise results.
Transcribed Image Text:**Title: Vector Addition and Resultant Calculation** **Instructions:** Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. **Equation:** C + A = ??? **Scale:** 1 square = 20 km along each edge **Diagram Explanation:** The diagram consists of a grid where each square represents 20 km. Various vectors (A to I) are represented with arrows in different directions. Each vector starts at one point on the grid and extends to another, indicating a direction and magnitude. **Vector Table:** List the magnitude and direction of each vector using a +/- sign for direction (left and down are -). | Vector | x | y | |--------|----|-----| | C | 20 | -40 | | A | 0 | -80 | | Resultant | 20 | -120 | **Calculation:** Use table values, the diagram, SOH CAH TOA, and the Pythagorean theorem to determine the magnitude and CCW (counterclockwise) direction of R. **Vector R:** Illustrated with an arrow indicating the direction of the resultant vector. **Tasks:** - Calculate the Magnitude: ______ km - Determine the Direction: ______ ° CCW **Check Answers:** Use the provided input fields to verify your calculated magnitude and direction for accuracy. **Note:** The illustration of Vector R and the table are tools to assist in understanding vector addition and resultant vector calculation. Ensure you use trigonometric methods and the Pythagorean theorem for precise results.
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