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Task 1 {B} rotated from {A} around Z₁ by 45 degrees, and offset by 8 units in X and 4 units in YÀ. BP is [1.0, 2.0, 3.0]. Find AP YA (A) {B} AP -8 Task 2 Solve the previous problem for the case when {B} is rotated relative to {A} around X₁ by 30 degrees, around YA by 60 degrees, around Z₁ by 45 degrees. BP is [1.0, 2.0, 3.0]. Find AP

Task 1 {B} rotated from {A} around Z₁ by 45 degrees, and offset by 8 units in X and 4 units in YÀ. BP is [1.0, 2.0, 3.0]. Find AP YA (A) {B} AP -8 Task 2 Solve the previous problem for the case when {B} is rotated relative to {A} around X₁ by 30 degrees, around YA by 60 degrees, around Z₁ by 45 degrees. BP is [1.0, 2.0, 3.0]. Find AP

Elements Of Electromagnetics
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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must be solved in matlab and sent me to code input and output .

Part 4 - Transform of the system coordinates Task 1 {B} rotated from {A} around Z₁ by 45 degrees, and offset by 8 units in XA and 4 units in YA. BP is [1.0, 2.0, 3.0]. Find AP YA {A} {B} AP вр X₂ Task 2 Solve the previous problem for the case when {B} is rotated relative to {A} around X₁ by 30 degrees, around YA by 60 degrees, around ZA by 45 degrees. BP is [1.0, 2.0, 3.0]. Find AP
Transcribed Image Text:Part 4 - Transform of the system coordinates Task 1 {B} rotated from {A} around Z₁ by 45 degrees, and offset by 8 units in XA and 4 units in YA. BP is [1.0, 2.0, 3.0]. Find AP YA {A} {B} AP вр X₂ Task 2 Solve the previous problem for the case when {B} is rotated relative to {A} around X₁ by 30 degrees, around YA by 60 degrees, around ZA by 45 degrees. BP is [1.0, 2.0, 3.0]. Find AP
Expert Solution
Step 1

task 1:

syms theta

theta = pi/4

T = [cos(theta) -sin(theta) 0 8;sin(theta) cos(theta) 0 4;0 0 1 0;0 0 0 1]

P_B = [1;2;3;1]


P_A = T * P_B

 

output:

 

theta =

    0.7854


T =

    0.7071   -0.7071         0          8.0000
    0.7071    0.7071         0          4.0000
         0         0           1.0000          0
         0         0                 0        1.0000


P_B =

     1
     2
     3
     1


P_A =

    7.2929
    6.1213
    3.0000
    1.0000

 

so  PA  is given by 

 

P_A =

    7.2929
    6.1213
    3.0000

 

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