U electromagnetics leems52kaistackr vector

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Electromagnetics [email protected]r Vector Multiplication - Derivation of Eq.(1.22b) - Proof of Eq. (1.22b): then , and Let z z y y x x z z y y x x B B B A A A a a a B a a a A + + = + + = z x y y x y z x x z x y z z y x y z y x z x z y z x y y z x z y x z z z z y z y z x z x z z y z y y y y y x y x y z x z x y x y x x x x x z z y y x x z z y y x x B A B A B A B A B A B A B A B A B A B A B A B A B A B A B A B A B A B A B A B A B A B B B A A A a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a B A ) ( ) ( ) ( ) ( ) ( + + = + + = × + × + × + × + × + × + × + × + × = + + × + + = × x y z y x z x z y z x y y z x z y x z z y y x x a a a a a a a a a a a a a a a a a a a a a a a a = × = × = × = × = × = × = × = × = × and , , , , and 0 2015-08-31 Vector Analysis 84
Electromagnetics [email protected] Vector Multiplication - Derivation of Eq.(1.22b) - Proof of Eq. (1.22b): ) ( ) ( ) ( z y x z y x z y x z x y y x y z x x z x y z z y B B B A A A B A B A B A B A B A B A a a a B A a a a B A = × ⇒∴ + + = × 2015-08-31 Vector Analysis 85