This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: ECE 329 Homework 1 Due: August 26, 2011, 5PM 1. Review exercises on vectors: Consider the 3D vectors A = 2 x + z (1) B = 1 2 x + 1 4 y + 2 z (2) C = 4 y 4 z (3) where x (1 , , 0) , y (0 , 1 , 0) , and z (0 , , 1) constitute an orthogonal set of unit vectors directed along the principal axes of a righthanded Cartesian coordinate system. Vectors can also be represented in component form: e.g., A = (2 , , 1) , B = ( 1 2 , 1 4 , 2) , and C = (0 , 4 , 4) . Determine the following: a) The vector B C b) The vector A 2 B + 4 C c) The vector magnitude  A 2 B + 4 C  d) The unit vector u along 3 A 2 C e) The scalar dot product B C f) The vector cross product A B g) The scalar triple product A ( B C ) 2. Let J = y 2 ( x + y + z ) A/m 2 denote the electrical current density field i.e., current flux per unit area in a region of space represented in Cartesian coordinates. A current density of J = y 2 ( x + y + z ) A/m 2 implies the flow of electrical current in direction...
View
Full
Document
This note was uploaded on 01/26/2012 for the course ECE 329 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.
 Spring '08
 Kim

Click to edit the document details