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A small part of Marc ten Bosch's guide to rotors and bivectors observes that:
He means that in general we can decompose any !!f(a, b)!! as $$ f(a,b) = f_M(a, b) + f_N(a, b)$$ where $$\begin{align} f_M(a, b) & = \phantom{} f_M(b, a) \\ f_N(a, b) & =  f_N(b, a) \end{align} $$ I never thought of this before. Compare Decomposing a function into even and odd parts.
