Compute G′ if G = F F′ x F′′

by RoRi

June 1, 2016

Let $G$ be the scalar triple product $F \cdot F' \times F''$ . Prove that $G' = F \cdot F' \times F'''$ .

Proof. We compute,

$\begin{align*} G = F \cdot F' \times F'' && \implies && G' &= (F \cdot F' \times F'')' \\ && \implies && G' &= F' \cdot (F' \times F'') + F \cdot (F' \times F'')' \\ && \implies && G' &= 0 + F \cdot (F'' \times F'' + F' \times F''') \\ && \implies && G' &= F \cdot F' \times F'''. \qquad \blacksquare \end{align*}$

Stumbling Robot

Compute G′ if G = F F′ x F′′

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