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Re: Cross product
Posted:
Mar 2, 2012 11:51 PM



Ax(BxC)+Bx(CxA)+Cx(AxB)=0 (AxB)xC=Cx(AxB) If Ax(BxC)=(AxB)xC then Cx(AxB)+Bx(CxA)+Cx(AxB)=0 therefore the crossproduct only associates when Bx(CxA)=0.
________________________________ From: Mahesh <discussions@mathforum.org> To: discretemath@mathforum.org Sent: Friday, 2 March 2012, 15:11 Subject: Cross product I came across following while reading about associativity of cross product of two sets: For three sets A,B,C (A X B) X C is generally same as A X (B X C) but there may be exceptions where associativity dos not hold. Can anyone give any example when cross product does not hold the associative property?



