Question

Does cross product follow associative law?

Answer 1

Associative law :

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

$Ax(BxC)\ne (AxB)xC$

Instead it satisfy Jacobi identity, according to which,

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

Hence, cross product does not follow associative law.