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( a × [ b × c ] ) i = ε i j k a j ε k ℓ m b ℓ c m = ε i j k ε k ℓ m a j b ℓ c m displaystyle (mathbf a instances [mathbf b situations mathbf c ])_ i =varepsilon _ ijk a^ j varepsilon _ kell m b^ ell c^ m =varepsilon _ ijk varepsilon _ kell m a^ j b^ ell c^ m
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If geometric algebra is applied the cross product b × c of vectors is expressed as their exterior product b∧c, a bivector.
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A likelihood of identity worth (PI) is outlined as the probability that two folks selected at random will have A similar genotype at the analyzed locus.
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can be a trivector with magnitude equivalent for the scalar triple product, and it is the Hodge dual from the vector triple product. As the exterior product is associative brackets are not wanted as it does not matter which of a ∧ b or b ∧ c is calculated to start with, however the buy on the vectors while in the product does make a difference.
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This article is about ternary functions on vectors. To the identity in quantity principle, see Jacobi triple product. For your calculus chain rule for 3 interdependent variables, see Triple product rule. For your product in nuclear fusion, see Lawson criterion.