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1. Reflect an object defined by the points (1,2), (3,5), (7,8) and (4,4) about an arbitrary axis basses through the points (4,4) and (9,6).

1. Reflect an object defined by the points (1,2), (3,5), (7,8) and (4,4) about an arbitrary axis basses through the points (4,4) and (9,6).

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.3: Subgroups
Problem 22E: 22. Find the center for each of the following groups . a. in Exercise 34 of section 3.1. b. in...
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HW 1. Reflect an object defined by the points (1,2), (3,5), (7,8) and (4,4) about an arbitrary axis basses through the points (4,4) and (9,6). 2. An object is defined by the points (1,2), (6,4), (8,7) and (3,5), perform the following transformations on it: a. Reflect the object about an arbitrary axis defined by the points (1,2) and (6,4). b. Scale the object by a factors of (0.5 in X-direction and 2 in Y- direction). 3. An object is defined by the points (5,7), (4,8) and (1,-2). Perform the following transformation on it: a. Rotate the object about the point (2,-1) by 35° CW. b. Apply scaling on the object by 2 in X-direction. 4. Reflect the object defined by the points (2,3), (5,5), (5,7) and (2,8), about the axis Y=3-X. 5. A cube of 10 unit length has one of its corners at the origin (0,0,0) and the three edges along the three principle axes. If the cube is to be rotated about the Z-axis by an angle of 30° CCW direction. Calculate the new position of the cube. 6. Using Cohen- Sutherland clipping algorithm to test whether the line shown inside or outside the window. Pg P2
Transcribed Image Text:HW 1. Reflect an object defined by the points (1,2), (3,5), (7,8) and (4,4) about an arbitrary axis basses through the points (4,4) and (9,6). 2. An object is defined by the points (1,2), (6,4), (8,7) and (3,5), perform the following transformations on it: a. Reflect the object about an arbitrary axis defined by the points (1,2) and (6,4). b. Scale the object by a factors of (0.5 in X-direction and 2 in Y- direction). 3. An object is defined by the points (5,7), (4,8) and (1,-2). Perform the following transformation on it: a. Rotate the object about the point (2,-1) by 35° CW. b. Apply scaling on the object by 2 in X-direction. 4. Reflect the object defined by the points (2,3), (5,5), (5,7) and (2,8), about the axis Y=3-X. 5. A cube of 10 unit length has one of its corners at the origin (0,0,0) and the three edges along the three principle axes. If the cube is to be rotated about the Z-axis by an angle of 30° CCW direction. Calculate the new position of the cube. 6. Using Cohen- Sutherland clipping algorithm to test whether the line shown inside or outside the window. Pg P2
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