Suppose you walk 18.0 m straight west and then 25.0 m straight north.   How far are you from your starting point? What is the compass direction of a line connecting your starting point to your final position?

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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Suppose you walk 18.0 m straight west and then 25.0 m straight north.

 

How far are you from your starting point?

What is the compass direction of a line connecting your starting point to your final position?

The image illustrates a vector addition diagram and a compass rose for directional reference.

### Vector Addition Diagram:
- Two vectors, labeled **A** and **B**, are depicted on the Cartesian coordinate system.
- Vector **A** is oriented along the x-axis, moving to the right.
- Vector **B** is oriented along the y-axis, moving upwards.
- The resultant vector, labeled **R**, is shown as the diagonal of the rectangle formed by vectors **A** and **B**. It extends from the origin to the endpoint of vectors A and B connected head-to-tail.
- The equation **A + B = R** is indicated, showing that vector R is the result of adding vectors A and B.

### Compass Rose:
- Displayed in the top right corner, showing the cardinal directions: North (N), South (S), East (E), and West (W).
Transcribed Image Text:The image illustrates a vector addition diagram and a compass rose for directional reference. ### Vector Addition Diagram: - Two vectors, labeled **A** and **B**, are depicted on the Cartesian coordinate system. - Vector **A** is oriented along the x-axis, moving to the right. - Vector **B** is oriented along the y-axis, moving upwards. - The resultant vector, labeled **R**, is shown as the diagonal of the rectangle formed by vectors **A** and **B**. It extends from the origin to the endpoint of vectors A and B connected head-to-tail. - The equation **A + B = R** is indicated, showing that vector R is the result of adding vectors A and B. ### Compass Rose: - Displayed in the top right corner, showing the cardinal directions: North (N), South (S), East (E), and West (W).
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