# 329fall09hw1 - ECE 329 Consider the 3D vectors Homework 1...

This preview shows pages 1–2. Sign up to view the full content.

ECE 329 Homework 1 Due: Sept 1, 2009, 5PM 1. Review exercises on vectors: Consider the 3D vectors A = 3ˆ x y - z, B x y - ˆ C x - y + 3ˆ where ˆ x (1 , 0 , 0) , ˆ y (0 , 1 , 0) , and ˆ z (0 , 0 , 1) constitute an orthogonal set of unit vectors directed along the principal axes of a right-handed Cartesian coordinate system. Vectors can also be represented in component form — e.g., A = (3 , 1 , - 2) , which is equivalent to x y - 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 ˆ u along vector A +2 B - C . e) The dot product A · B . f) The cross product B × C . 2. A particle with charge q =1 C passing through the origin r =( x, y, z ) = 0 of the lab frame is observed to accelerate with forces F 1 = 3ˆ F 2 F 3 = 3ˆ z + 4ˆ y N when the velocity of the particle is v 1 =0 , v 2 = 1ˆ y, v 3 = 2ˆ z m s , in turns. Use the Lorentz force equation F = q ( E + v × B ) to determine the Felds E and B at the origin.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 02/21/2010 for the course ECE 329 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.

### Page1 / 2

329fall09hw1 - ECE 329 Consider the 3D vectors Homework 1...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online