Prove that:
\[
\left(\begin{array}{l}
\vec{b}+\vec{c})
\end{array}\right) \cdot\left\{\left(\beg...
Prove that:
\[
\left(\begin{array}{l}
\vec{b}+\vec{c})
\end{array}\right) \cdot\left\{\left(\begin{array}{l}
\rightarrow \rightarrow \\
c+a
\end{array}\right) \times\left(\begin{array}{ll}
\vec{a}+\vec{b}
\end{array}\right)\right\}=2\left[\begin{array}{lll}
\vec{a} & \vec{b} & \vec{c}
\end{array}\right] .
\]
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