**Problem Statement:**Given the following vectors:- \( \mathbf{A} = 15.0 \, \text{m} \) at \( 40.0^\circ \) counterclockwise from the \( +y\)-axis,- \( \mathbf{B} = 20.0 \, \text{m} \) at \( 15.0^\circ \) clockwise from the \(-y\)-axis,- \( \mathbf{C} = 5.00 \, \text{m} \) at \( 25.0^\circ \) counterclockwise from the \( -y\)-axis.If \( \mathbf{R} = 2\mathbf{A} + \mathbf{B} - 3\mathbf{C} \), then:(a) Graphically find \( \mathbf{R} \) and calculate \( \mathbf{R} \) in both(b) unit–vector notation and (c) as a magnitude and direction measured relative to the \( +x\)-axis.

Answered: Image /qna-images/answer/58ad3139-7977-45c2-8eec-692b5d3f993c.jpg

= Given the following vectors: A 15.0 m at 40.0° counterclockwise from the +y-axis, B=20.0 m at 15.0° clockwise from the -y-axis, and C = 5.00 m at 25.0° counterclockwise from the -y-axis. If R=2A + B −3C, then (a) graphically find R and calculate R in both (b) unit-vector notation and (c) as a magnitude and direction measured relative to the +x-axis.

= Given the following vectors: A 15.0 m at 40.0° counterclockwise from the +y-axis, B=20.0 m at 15.0° clockwise from the -y-axis, and C = 5.00 m at 25.0° counterclockwise from the -y-axis. If R=2A + B −3C, then (a) graphically find R and calculate R in both (b) unit-vector notation and (c) as a magnitude and direction measured relative to the +x-axis.

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

**Problem Statement:**

Given the following vectors:

- \( \mathbf{A} = 15.0 \, \text{m} \) at \( 40.0^\circ \) counterclockwise from the \( +y\)-axis,
- \( \mathbf{B} = 20.0 \, \text{m} \) at \( 15.0^\circ \) clockwise from the \(-y\)-axis,
- \( \mathbf{C} = 5.00 \, \text{m} \) at \( 25.0^\circ \) counterclockwise from the \( -y\)-axis.

If \( \mathbf{R} = 2\mathbf{A} + \mathbf{B} - 3\mathbf{C} \), then:

(a) Graphically find \( \mathbf{R} \) and calculate \( \mathbf{R} \) in both
(b) unit–vector notation and
(c) as a magnitude and direction measured relative to the \( +x\)-axis.

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