4. Do the following transformations on the rectangle shown in figure below in sequence. a. Shear the rectangle about y axis by shy =2. Using Shear Matrix and Equation b. After Change the position of the rectangle by a vector(2,3). c. Perform operation i) and i) for the rectangle by finding its Composite Matrix. Y axis 5. (1,4) (4,4) 4 3. (1,2) (4,2) 1 6.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4. Do the following transformations on the rectangle shown in figure below in sequence.
a. Shear the rectangle about y axis by shy =2. Using Shear Matrix and Equation
b. After Change the position of the rectangle by a vector(2,3).
c. Perform operation i) and i) for the rectangle by finding its Composite Matrix.
Y axis
6.
(1,4)
(4,4)
4
(1,2)
(4,2)
Хаxis
1
4
5. An object is in location (1,3), (1,6), (3,3) and (3,6). Do two repeated translation operations
on the object with the scaling factors, (2,1) and (4,3). Write the new positions.
6. An object is in location (0,0), (1,0), (0,1) and (1,1). Write the new positions after shearing the
object about x-direction. Take shear parameter along x-direction shx=4.Then apply
reflection about the line x=0(the Y axis).
7. Write tests performed on the vertices of polygon edges by Sutherland Hodgeman Polygon
Clipping algorithm. Apply Left, Right, Bottom and Top boundary clipping in the following
polygon as is done by Sutherland Hodgeman Polygon Clipping algorithm and find the
vertices of the clipped polygon.
Transcribed Image Text:4. Do the following transformations on the rectangle shown in figure below in sequence. a. Shear the rectangle about y axis by shy =2. Using Shear Matrix and Equation b. After Change the position of the rectangle by a vector(2,3). c. Perform operation i) and i) for the rectangle by finding its Composite Matrix. Y axis 6. (1,4) (4,4) 4 (1,2) (4,2) Хаxis 1 4 5. An object is in location (1,3), (1,6), (3,3) and (3,6). Do two repeated translation operations on the object with the scaling factors, (2,1) and (4,3). Write the new positions. 6. An object is in location (0,0), (1,0), (0,1) and (1,1). Write the new positions after shearing the object about x-direction. Take shear parameter along x-direction shx=4.Then apply reflection about the line x=0(the Y axis). 7. Write tests performed on the vertices of polygon edges by Sutherland Hodgeman Polygon Clipping algorithm. Apply Left, Right, Bottom and Top boundary clipping in the following polygon as is done by Sutherland Hodgeman Polygon Clipping algorithm and find the vertices of the clipped polygon.
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