EE 1; Homework 1: DUE APRIL 16THWEDNESDAY 6 PM (THERE WILL BE A COLLECTION BOX IN FRONT OF MY OFFICE ENGR. IV RM# 66-127D) (1) 200ˆd dRππφθ∫∫= ? (R, θandφdefine the spherical coordinate system) (2) Draw the vectors: ˆˆˆ333R++and ˆˆˆrz++and ˆxyz++. (if you can not, specify one exemplary condition that you can) (3) Derive ˆr∂∂(simple sketch is enough for derivation) (4) Derive ˆ∂∂(simple sketch is enough for derivation) (5) Derive the “Back-cab Rule”, i.e. ( )( )( )AxBxCBAC CAB=⋅− ⋅(6) Show that if AxBAxC=and ABAC⋅=⋅then BC=. You can assume
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This note was uploaded on 06/18/2008 for the course EE 1 taught by Professor Joshi during the Spring '08 term at UCLA.