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Mathematics
Mathematics
Problem
If
a
\mathbf{a}
a
and
b
\mathbf{b}
b
are two vectors, then
(
a
×
b
)
2
(\mathbf{a} \times \mathbf{b})^2
(
a
×
b
)
2
is equal to a.
∣
a
⋅
b
a
⋅
a
b
⋅
b
b
⋅
a
∣
\begin{vmatrix} \mathbf{a} \cdot \mathbf{b} & \mathbf{a} \cdot \mathbf{a} \\ \mathbf{b} \cdot \mathbf{b} & \mathbf{b} \cdot \mathbf{a} \end{vmatrix}
a
⋅
b
b
⋅
b
a
⋅
a
b
⋅
a
b.
∣
a
⋅
a
a
⋅
b
b
⋅
a
b
⋅
b
∣
\begin{vmatrix} \mathbf{a} \cdot \mathbf{a} & \mathbf{a} \cdot \mathbf{b} \\ \mathbf{b} \cdot \mathbf{a} & \mathbf{b} \cdot \mathbf{b} \end{vmatrix}
a
⋅
a
b
⋅
a
a
⋅
b
b
⋅
b
c.
∣
a
⋅
b
b
⋅
a
∣
\begin{vmatrix} \mathbf{a} \cdot \mathbf{b} \\ \mathbf{b} \cdot \mathbf{a} \end{vmatrix}
a
⋅
b
b
⋅
a
d. None of these
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