VE230+Homework+1+Fall+2010

# VE230+Homework+1+Fall+2010 - 1.4 Verify the back-cab rule...

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

VE 230 Electromagnetics I Fall 2010 VE230 Homework 1 (Due 9/17/10) 1.1 Given vectors A = ö x 2 + ö y 4 - ö z 3 , B = ö x 2 + ö y 4 , and C = ö y 2 - ö z 4 , find the following: (a)A and (b)The component of B along C (c) θ AC (d) A ´ B (e) A × B ´ C ( ) (f) A ´ B ´ C ( ) (g) ö x ´ B (h) A ´ ö y ( ) × ö z 1.2 A given line is described by 3 x +2 y = 4 . Vector A starts at the origin and ends at point P on the line such that A is orthogonal to the line. Find an expression for A . 1.3 Convert the coordinates of the following points from Cartesian to cylindrical and spherical coordinates: (a)P 1 (1, 2, 0) (b)P 2 (0, 0, 2) (c) P 3 (1, 1, 3) (d)P 4 (-2, 2, -2)

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.

Unformatted text preview: 1.4 Verify the back-cab rule of the vector triple product of three vectors in Cartesian coordinates. 1.5 (a) Prove that the equation of any plane in space can be written in the form b 1 x + b 2 y + b 3 z = c . (Hint: Prove that the dot product of the position vector to any point in the plane and a normal vector is a vector.) (b) Find the expression for the unit normal passing through the origin. 1 VE 230 Electromagnetics I Fall 2010 (c) For the plane 3 x- 2 y +6 z = 5 , find the perpendicular distance from the origin to the plane. 2...
View Full Document

## This note was uploaded on 06/24/2011 for the course ECE 203 taught by Professor Wang during the Spring '11 term at University of Michigan.

### Page1 / 2

VE230+Homework+1+Fall+2010 - 1.4 Verify the back-cab rule...

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

View Full Document
Ask a homework question - tutors are online