EE 1 HW 1

EE 1 HW 1 - EE 1; Homework 1: DUE APRIL 16TH WEDNESDAY 6 PM...

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EE 1; Homework 1: DUE APRIL 16 TH WEDNESDAY 6 PM (THERE WILL BE A COLLECTION BOX IN FRONT OF MY OFFICE ENGR. IV RM# 66-127D) (1) 2 00 ˆ d d R ππ φθ ∫∫ = ? ( R , θ and φ define the spherical coordinate system) (2) Draw the vectors: ˆˆ ˆ 333 R ++ and ˆ ˆ ˆ rz + + and ˆ x yz + + . (if you can not, specify one exemplary condition that you can) (3) Derive ˆ r (simple sketch is enough for derivation) (4) Derive ˆ (simple sketch is enough for derivation) (5) Derive the “Back-cab Rule”, i.e. ( ) ( ) ( ) A xB xC BAC CAB = ⋅− ⋅ (6) Show that if AxB AxC = and A BA C ⋅=⋅ then BC = . You can assume
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