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Mathematics
Problem
If
a
a
a
,
b
b
b
,
c
c
c
are unit vectors such that a \cdot b = 0 = a \cdot c
a
n
d
t
h
e
a
n
g
l
e
b
e
t
w
e
e
n
and the angle between
an
d
t
h
e
an
g
l
e
b
e
tw
ee
n
b
a
n
d
and
an
d
c
i
s
is
i
s
\frac{\pi}{3}
,
t
h
e
n
t
h
e
v
a
l
u
e
o
f
, then the value of
,
t
h
e
n
t
h
e
v
a
l
u
eo
f
|a \times b - a \times c|$ .
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