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# 66127D)
(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 “Backcab 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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This note was uploaded on 06/18/2008 for the course EE 1 taught by Professor Joshi during the Spring '08 term at UCLA.
 Spring '08
 Joshi

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