ENGG250 MATERIALS ASSIGNMENT 1 20 marks DUE: 20 MARCH 2015 These are the sort of questions you can expect in the Class Test on 23 March. Completing this assignment should therefore be considered part of your preparation for the Class Test. (The Class Test will cover more material than the assignment). When you have completed the questions‚ make an electronic file from your answers (you can put together an electronic file‚ or scan your handwritten copy – as long as it is legible). Create a cover
Premium Euclidean geometry Dimension Analytic geometry
The Vector equation of a plane To find the vector equation of a plane a point on the plane and two different direction vectors are required. The equation is defined as: where a is the point on the plane and b and c are the vectors. This equation can then be written as: The Cartesian equation of a plane The cartesian equation of the plane is easier to use. The equation is defined as: One of the advantages to writing the equation in cartesian form is that we can easily find the normal
Premium Analytic geometry Dimension Euclidean geometry
#!/usr/bin/env python ’’’ Simple example of stereo image matching and point cloud generation. #!/usr/bin/env python ’’’ Simple example of stereo image matching and point cloud generation. Resulting .ply file cam be easily viewed using MeshLab ( http://meshlab.sourceforge.net/ ) ’’’ import numpy as np import cv2 ply_header = ’’’ply format ascii 1.0 element vertex %(vert_num)d property float x property float y property float z property uchar red property uchar green property
Premium Dimension Computer graphics Point
C1 MOCK PAPER 1. Solve the inequality . (3) 2. Find . (4) 3. Find the value of (a) ‚ (b) ‚ (c) . (1) (2) (1) 4. A sequence is defined by ‚ where k is a constant. (a) Write down an expression for a2 in terms of k. (1) (b) Find a3 in terms of k‚ simplifying your answer. (2) Given that a3 = 13‚ (c) find the value of k. (2) 5. (a) Show that eliminating y from the equations 2x + y = 8‚ 3x2 + xy = 1 produces the equation x2 + 8x - 1 =
Premium Analytic geometry Cartesian coordinate system Dimension
The major appliance market is a very competitive environment. Frigidaire has four major competitors in the United States: Whirlpool‚ General Electric‚ Maytag and Amana. These manufacturers produce the products that would be competing with the front load washing machine. These products would include traditional top loading or vertical axis machines. In addition‚ Maytag and Amana has announced plans to introduce their own versions of horizontal machines‚ although Maytag’s was not expected to be front
Premium Competitor analysis Marketing Competition
2-Variable Inequality Here is an example of a problem very similar to the one in the Week Three Assignment: Catskills Hammock Company can obtain at most 2000 yards of striped canvas for making its full size and chair size hammocks. A full size hammock requires 10 yards of canvas and the chair size requires 5 yards of canvas. Write an inequality that limits the number of striped hammocks of each type which can be made. (b) First I must define what variables I will be using in my inequality
Premium Dimension Number René Descartes
The ’Excel 3D Scatter Plot’ macro – The Manual Copyleft by Gabor Doka‚ Switzerland‚ © 2006 – 2012 reach the author under: scaplo {at} doka {dot} ch A very quick introduction: A first chart 1. Open the workbook "3Dscatterplot.xls" that contains the necessary macros. 2. In a trial workbook enter some data you want to display in three columns (x‚y‚z). 3. Optionally you can enter a header column containing text labels for each point. 4. Leave 10 empty rows above the data range and one empty column
Premium Color RGB color model Dimension
Calculus in 3D Geometry‚ Vectors‚ and Multivariate Calculus Zbigniew H. Nitecki Tufts University August 19‚ 2012 ii This work is subject to copyright. It may be copied for non-commercial purposes. Preface The present volume is a sequel to my earlier book‚ Calculus Deconstructed: A Second Course in First-Year Calculus‚ published by the Mathematical Association in 2009. I have used versions of this pair of books for severel years in the Honors Calculus course at Tufts‚ a two-semester
Premium Cartesian coordinate system Dimension Analytic geometry
Computer Graphics Lecture Notes CSC418 / CSCD18 / CSC2504 Computer Science Department University of Toronto Version: November 24‚ 2006 Copyright c 2005 David Fleet and Aaron Hertzmann CSC418 / CSCD18 / CSC2504 CONTENTS Contents Conventions and Notation 1 Introduction to Graphics 1.1 Raster Displays . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 Basic Line Drawing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Curves 2.1 Parametric
Premium Cartesian coordinate system Curve Dimension
The study of robot kinematics‚ require a unified methodology to identify the variables of a robot’s or manipulator’s joints and links. Co-ordinate Frames Robotic kinematics depends on the use of right handed cartesian frames of reference. Manipulator Geometry A manipulator consists of two types of joints‚ connected by a link. Link A link is a solid mechanical structure which connects two joints. The main purpose of a link is to maintain a fixed relationship between the joints at
Premium Robotics Euclidean geometry Analytic geometry