Answered: Find the sum of the following four…

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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Question

Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as (c) a magnitude and (d) an angle relative to +x (including sign plus or minus).
P→: 16.0 m, at 16.0^o counterclockwise from +x
Q→: 7.00 m, at 6.80^o counterclockwise from +y
R→: 23.0 m, at 33.0^o clockwise from -y
S→: 24.0 m, at 47.0^o counterclockwise from -y

### Problem Statement

Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as (c) a magnitude and (d) an angle relative to +x (including sign plus or minus).

#### Given Vectors:

- **\[ \vec{P} \]: 16.0 m, at 16.0° counterclockwise from +x**
- **\[ \vec{Q} \]: 7.0 m, at 6.80° counterclockwise from +y**
- **\[ \vec{R} \]: 23.0 m, at 33.0° clockwise from -y**
- **\[ \vec{S} \]: 24.0 m, at 47.0° counterclockwise from -y**

### Required:

#### (a) Number \[ \text{x-component (Units)} \]:
\[ \fbox{} \]

#### (b) Number \[ \text{y-component (Units)} \]:
\[ \fbox{} \]

#### (c) Number \[ \text{Magnitude (Units)} \]:
\[ \fbox{} \]

#### (d) Number \[ \text{Angle relative to +x (Degrees)} \]:
\[ \fbox{} \]

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