Geometrically the trivector a ∧ b ∧ c corresponds into the parallelepiped spanned by a, b, and c, with bivectors a ∧ b, b ∧ c as well as a ∧ c matching the parallelogram faces of the parallelepiped.
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The evidence follows through the Qualities on the contraction.[six] The end result is similar vector as calculated utilizing a × (b × c).
The straightforward product of two triple products (or perhaps the sq. of a triple product), could possibly be expanded with regard to dot products:
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