Geometrically the trivector a ∧ b ∧ c corresponds on the parallelepiped spanned by a, b, and c, with bivectors a ∧ b, b ∧ c plus a ∧ c matching the parallelogram faces of the parallelepiped.
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In exterior algebra and geometric i was reading this algebra the outside product of two vectors is often a bivector, whilst the outside product of a few vectors is often a trivector.
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The triple product is identical to the amount method of the Euclidean 3-House applied to the vectors by way of inside product. It can also be expressed as being a contraction of vectors using a rank-three tensor equivalent to the shape (or perhaps a pseudotensor similar to the volume pseudoform); see under.
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This informative article is about ternary operations on vectors. For the identity in variety principle, see Jacobi triple product. To the calculus chain rule for three interdependent variables, see Triple product rule. To the product in nuclear fusion, see Lawson criterion.