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Mathematics
Mathematics
Problem
If
a
,
b
\mathbf{a}, \mathbf{b}
a
,
b
and
c
\mathbf{c}
c
are coplanar, show that
[
a
×
b
,
b
×
c
,
c
×
a
]
\bigl[\mathbf{a} \times \mathbf{b},\, \mathbf{b} \times \mathbf{c},\, \mathbf{c} \times \mathbf{a}\bigr]
[
a
×
b
,
b
×
c
,
c
×
a
]
are coplanar.
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