College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Question
Two position vectors are given by \(\vec{A} = (4.00 \, \text{m})\hat{i} - (2.00 \, \text{m})\hat{j} - (3.00 \, \text{m})\hat{k}\) and \(\vec{B} = (4.00 \, \text{m})\hat{i} - (5.00 \, \text{m})\hat{k}\). What is the scalar product of \( (3\vec{A}) \cdot \vec{B} \)? Options: - \((16.0 \, \text{m}^2)\hat{i} + (15.0 \, \text{m}^2)\hat{k}\) - \(31 \, \text{m}^2\) - \((48.0 \, \text{m}^2)\hat{i} + (45.0 \, \text{m}^2)\hat{k}\) - \(93 \, \text{m}^2\) - None of the above.
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Transcribed Image Text:Two position vectors are given by \(\vec{A} = (4.00 \, \text{m})\hat{i} - (2.00 \, \text{m})\hat{j} - (3.00 \, \text{m})\hat{k}\) and \(\vec{B} = (4.00 \, \text{m})\hat{i} - (5.00 \, \text{m})\hat{k}\). What is the scalar product of \( (3\vec{A}) \cdot \vec{B} \)? Options: - \((16.0 \, \text{m}^2)\hat{i} + (15.0 \, \text{m}^2)\hat{k}\) - \(31 \, \text{m}^2\) - \((48.0 \, \text{m}^2)\hat{i} + (45.0 \, \text{m}^2)\hat{k}\) - \(93 \, \text{m}^2\) - None of the above.
Expert Solution
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Step 1

Given 

Vector A and B are in meters 

A→=4i^-2j^-3k^ B→ = 4i^ +0j^ -5k^ now 3.A→.B→ 

Is to be calculated 

 

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