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(h) Also, 

ab
ba
a
b
×=×=
GG
.
(i) With
d
> 0, we find that
( / )
d
×
G
G
has magnitude
ab
/
d
.
(j) The vector
( / )
d
×
G
G
points in the +
z
direction.
59. The vectors can be written as
ˆˆ
i and
j
aa
bb
==
G
G
where
,
0.
>
(a) We are asked to consider
G
b
d
b
d
=
F
H
G
I
K
J
#
j
in the case
d
> 0. Since the coefficient of
#
j is positive, then the vector points in the +
y
direction.
(b) If, however,
d
< 0, then the coefficient is negative and the vector points in the –
y
direction.
(c) Since cos 90° = 0, then
0
⋅=
G
G
, using Eq. 320.
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics

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