Note: in G_r= [2 -5 10 1]^T If a body point atis translated toBr=[ 14 2 1²Gr=[ 2 -5 -10 1]²Find the displacement, dx, dy, and dz

Name: Note: in G_r= [2 -5 10 1]^T If a body point atis translated toBr=[ 14
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Description: Note: in G_r= [2 -5 10 1]^T If a body point atis translated toBr=[ 14 2 1²Gr=[ 2 -5 -10 1]²Find the displacement, dx, dy, and dz

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Note: in G_r= [2 -5 10 1]^T

If a body point at
is translated to
Br=[ 14 2 1²
Gr=[ 2 -5 -10 1]²
Find the displacement, dx, dy, and dz

Expert Solution

Step 1

This question is related to the translation matrix.

In the translation matrix objects move one or more of the three axes.

Here, B_r is translated to G_r by Translation matrix.

$G_{r} = T B_{r} [\begin{matrix} a \\ b \\ c \\ d \end{matrix}] = [\begin{matrix} 1 & 0 & 0 & d x \\ 0 & 1 & 0 & d y \\ 0 & 0 & 1 & d z \\ 0 & 0 & 0 & 1 \end{matrix}] [\begin{matrix} e \\ f \\ g \\ h \end{matrix}]$

And,

Displacement is the shortest path of the initial and final points.

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