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: June 17, 2011, 5PM 1. Consider the 3D vectors A = 3 x + y 2 z, B = x + y z, C = x 2 y + 3 z, 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 = (3 , 1 , 2) , which is equivalent to 3 x + y 2 z . Determine: a) The vector D A + B , b) The vector A + B 4 C , c) The vector magnitude  A + B 4 C  . d) The unit vector u along vector A + 2 B C . e) The dot product A B . f) The cross product B C . 2. Let J = z 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 = z 2 ( x + y + z ) A/m 2 implies the flow of electrical current in direction J  J  = x + y +...
View Full
Document
 Summer '08
 Kim

Click to edit the document details