solution1_calculus

# solution1_calculus - EE1259 Assignment 1(Due on 9:30 am...

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EE1259: Electromagnetic assignment 1 1 EE1259 Assignment 1 (Due on 9:30 am Thursday, September 7, 2007) 1. Four vectors drawn from a common point are given as follows: + + = + + = + = = z y x z y x z y x z y x a a m a m D a a m a C a a a m B a a m a A r r r r r r r r r r r r r r r r 2 2 2 2 Find the value(s) of m for each of following cases: (a) A is perpendicular to B (b) B is parallel to C (c) A , B , and C lie in the same plane; (d) D is perpendicular to both A and B 2. As we know from the lecture, for vector triple products, we have ( ) ( ) ( ) B A C C A B C B A r r r r r r r r r = × × ( ) ( ) ( ) A C B B A C C B A r r r r r r r r r × = × = × Show that () ( ) ( ) [ ] ( ) [ ] 2 C B A A C C B B A r r r r r r r r r × = × × × × 3. Given vector z y x a a a A r r r r + = 2 5 , find the expression of (a) a unit vector B a r such that A a B r r // and (b) a unit vector C a r in the xy -plane such that A a

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solution1_calculus - EE1259 Assignment 1(Due on 9:30 am...

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