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71.
(a) We use Eq. 292 and Eq. 330:
~
F
=
q~v
×
~
B
=(
+
e
)
³
(
v
y
B
z
−
v
z
B
y
)
ˆ
i+(
v
z
B
x
−
v
x
B
z
)
ˆ
j+(
v
x
B
y
−
v
y
B
x
)
ˆ
k
´
=
(
1
.
60
×
10
−
19
)
³
((4)(0
.
008)
−
(
−
6)(
−
0
.
004))
ˆ
i+
((
−
6)(0
.
002)
−
(
−
2)(0
.
008))
ˆ
j+((
−
2)(
−
0
.
004)
−
(4)(0
.
002))
ˆ
k
´
=
(
1
.
28
×
10
−
21
)
ˆ
i+
(
6
.
41
×
10
−
22
)
ˆ
j
with SI units understood.
(b) By defnition oF the cross product,
~v
⊥
~
F
. This is easily verifed by taking the dot (scalar) product
oF
~v
with the result oF part (a), yielding zero, provided care is taken not to introduce any roundo±
error.
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 Fall '08
 SPRUNGER
 Physics

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