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.

Given Vector A and B are in meters A→=4i^-2j^-3k^ B→ = 4i^ +0j^ -5k^ now 3.A→.B→ Is to be…

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

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

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

$\vec{A} = 4 \hat{i} - 2 \hat{j} - 3 \hat{k} \vec{B} = 4 \hat{i} + 0 \hat{j} - 5 \hat{k} n o w 3 . \vec{A} . \vec{B}$

Is to be calculated

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