1. Vertices of a triangle are A (2.3.1), B(5,3,4), and C (5.2,8). Rotate the triangle 45° CW about the y-axis and unifor

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1 Vertices Of A Triangle Are A 2 3 1 B 5 3 4 And C 5 2 8 Rotate The Triangle 45 Cw About The Y Axis And Unifor 1 (98.21 KiB) Viewed 52 times

1. Vertices of a triangle are A (2.3.1), B(5,3,4), and C (5.2,8). Rotate the triangle 45° CW about the y-axis and uniformly scale it by a factor of 3. Make sure that vertex C maintains its position after all transformations are applied. Find the coordinates of the vertices of the transformed triangle 2- Given point A(2,3), after a rotation at a certain angle, the new coordinates are (3.2). Find the rotation angle. 3. Given four control points A(4,8), B (7.9), C(8. 1), and D (10, 4) of a Bézier Curve: a. Find the point on the curve when t=0.3. b. Find the tangent to the curve when t=0.4. c. Reproduce this curve finding the control points to be a uniform cubic B-spline. 4- A cubic Bézier curve defined by the control points P1 (2,5,6), P2 (1.3.6), P3 (6,7,4) and P4 (5,7,1) is swept along a path defined by z=2s and y=2s+1 to create a surface. Calculate the point on this surface corresponding to curve parameter t= 0.2 and s = 0.8. 5. Given the polygon described by its vertices below: го о 11 2 04 09 4 5 0 6 Generate the surface by rotating polygon 90°CCW about z-axis. 6- Generate CSG tree for the below part which is generated using Constructive Solid Geometry (CSG) approach