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Mathematics
Mathematics
Problem
If
a
\mathbf{a}
a
,
b
\mathbf{b}
b
and
c
\mathbf{c}
c
are three non-coplanar vectors, then
a
⋅
(
b
×
c
)
(
c
×
a
)
⋅
b
+
b
⋅
(
a
×
c
)
c
⋅
(
a
×
b
)
\frac{\mathbf{a} \cdot (\mathbf{b} \times \mathbf{c})}{(\mathbf{c} \times \mathbf{a}) \cdot \mathbf{b}} + \frac{\mathbf{b} \cdot (\mathbf{a} \times \mathbf{c})}{\mathbf{c} \cdot (\mathbf{a} \times \mathbf{b})}
(
c
×
a
)
⋅
b
a
⋅
(
b
×
c
)
+
c
⋅
(
a
×
b
)
b
⋅
(
a
×
c
)
is equal to a. 0 b. 2 c. -2 d. None of these
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