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Question

Does cross product follow associative law?


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Solution

Associative law :

Cross product does not follow associative law or associative property. It means,

Ax(BxC)(AxB)xC

Instead it satisfy Jacobi identity, according to which,

Ax(BxC)+Bx(CxA)+Cx(AxB)=0

Hence, cross product does not follow associative law.


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