a. Find the translation point with 2D and Homogeneous, P’, where P is (2,2) and Translation shift vector is (6,4).
a. Find the translation point with 2D and Homogeneous, P’, where P is (2,2) and Translation shift vector is (6,4).
Question 2: 2D Homogeneous Matrices [30 Marks] For each of the following homogenous matrices, write the decomposition into simple 2D transformations (translation, rotate, scale and shear). [6 Marks each] For example, the matrix M 10 0 0 1 Can be written as b) M2 0 0 d) M1 1 0 0.5 0.866 0 e) M 0.866 0.5 0
Question 2: 2D Homogeneous Matrices [30 Marks] For each of the following homogenous matrices, write the decomposition into simple 2D transformations (translation,...
Find the stream function for the vector field F=36y^5/36i+9x^2/9j If C is a curve connecting the point P =(2,2) the point Q =(2,4), then the flux across C is given by:
a. 1. Identify the image of point P under the following transformations. a translation along vector v b. a reflection across line 1 a counterclockwise rotation of 90° about point o d. A glide-reflection across / and along ū c. V E O u B C D A Р Identify the image of point P under the following transformations.
Find a vector equivalent to the vector PO, where P = (3,-7) Q = (-9,6), with its initial point at the origin and find the magnitude of the vector found, respectively. (A) (-12,13), V313 (B) (-12,13), 18 (C) (12,13), V325 (D) (12,13), 18
Find vector R where R = vector P* vector Q vector P= 9.8 N at 270 degrees vector Q = 1 m at 327 degrees
2 Homogeneous coordinates Recall that an affine function is of the form f^x) Mx + t for a matrix M and vector t. Homogeneous coordinates are frequently used to represent affine functions in robotics and 3D graphics. We define the function H by and if f-x) Mxtt where then C0 a. Some vectors are valid homogeneous representations of vectors, and some are not. Explain how to tell if some vector y-0 is the homogeneous representation of some other vector -y...
1) Find the electric field vector E at point P= (0,-a).
(Calculate the magnitude and draw the vector).
2) Sketch the electric field lines.
3)Find out the location (x,y) where the electric field E becomes
0.
-Q (0, a) 2Q P (0, -a)
6a Perform a 60° rotation of point p(3, 5) (a) about the origin and (b) about P(2,2). b. Find the normalization transfgation that maps a and upper right corner is at (4,6) onto (a) a viewport that is the entire normalized device screen and (b) a viewport that has lower left corner at (0,0) and upper right corner (1/2,1/2). Clipping against rectangular windows whose sides are aligned with the x andy axes involves computing intersections with vertical and horizontal lines....
For each defined function, give the amplitude (A), period (P), vertical translation (V), and phase shift (PS), as applicable. Explain your reasoning. y = 4 + 4 cos( 08(0 - 5) Amplitude= 4, Period = 27, Vertical: 4 (up), Phase Shift: A (right) Amplitude= 4, Period = 7, Vertical: 4 (down), Phase Shift: (left) Amplitude= 4, Period = 277, Vertical: 4 (up), Phase Shift: none Amplitude , Period = 27, Vertical: 4 (up), Phase Shift: (left)