Amass performed 3 different displacenents ds defined followingexperessions,respectively.30j + 122 (an); d = 23 - 147-SE (an) and dy = -13i+15ŷ(cn)= 15i +Define the total displacenent rector @)

Given data The first displacement by the mass is given as d1=15i^+30j^+12k^. The second…

Answered: A mass performed experessions,…

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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A
mass performed 3 different displacenents ds defined following
experessions,
respectively.
30j + 122 (an); d = 23 - 147-SE (an) and dy = -13i+15ŷ(cn)
= 15i +
Define the total displacenent rector @)

Expert Solution

Step 1

Given data

The first displacement by the mass is given as $d_{1} = 15 \hat{i} + 30 \hat{j} + 12 \hat{k}$ .
The second displacement by the mass is given as $d_{2} = 23 \hat{i} - 14 \hat{j} - 5 \hat{k}$ .
The third displacement by the mass is given as $d_{3} = - 13 \hat{i} + 15 \hat{j}$ .

Now, the total displacement traveled vector is calculated as,

$\vec{l} = \vec{d_{1}} + \vec{d_{2}} + \vec{d_{3}}$

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