Illustrate the use of matrices to represent transformations such as rotation and translation. A triangle has...

 

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Illustrate the use of matrices to represent transformations such as rotation and translation. A triangle has three vertices P(1, 2, 3), P2(2, 3, 1) and P3(3, 1, 2). (i) (ii) (iii) Form a homogeneous matrix that translates an object -1 unit along the x- axis, -2 units along the y-axis and -3 units along the z-axis. (4 marks) Form a homogeneous that scales an object 2 times in the x-direction, 3 times in the y-direction and 4 times in the z-direction. (3 marks) Find the final position of the three vertices of the triangle after performing the translation in part (i) followed by the scaling in part (ii). (6 marks) Illustrate the use of matrices to represent transformations such as rotation and translation. A triangle has three vertices P(1, 2, 3), P2(2, 3, 1) and P3(3, 1, 2). (i) (ii) (iii) Form a homogeneous matrix that translates an object -1 unit along the x- axis, -2 units along the y-axis and -3 units along the z-axis. (4 marks) Form a homogeneous that scales an object 2 times in the x-direction, 3 times in the y-direction and 4 times in the z-direction. (3 marks) Find the final position of the three vertices of the triangle after performing the translation in part (i) followed by the scaling in part (ii). (6 marks)

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The task involves using matrices to represent geometric transformations applied to the vertices of a triangle We will address each subquestion individ... View the full answer