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Two position vectors are given by Á = (4.00m)i - (2.00m)j - (3.00m)k and B= (4.00m)î - (5.00m)k. What is the scalar product of (3A) B? O (16.0m?)î + (15.0m2)k O 31 m2 (48.0m?)i + (45.0m²)k 93 m2 None of the above.

Two position vectors are given by Á = (4.00m)i - (2.00m)j - (3.00m)k and B= (4.00m)î - (5.00m)k. What is the scalar product of (3A) B? O (16.0m?)î + (15.0m2)k O 31 m2 (48.0m?)i + (45.0m²)k 93 m2 None of the above.

College Physics
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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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.
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
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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