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For any 3 given vectors : a,b,c the following Cross Product property should hold true :
ax(bxc) = (axb)xc
buit doesnt ...
assuming
a=(2,3,4)
b=(1,2,3)
c=(4,1,2)
By the determinant method ,
If I compute ax(bxc)= -61x + 18y +17z
but
(axb)xc = -5x+2y+9z
????
That could be because:
a x (b x c) /= (a x b) x c
That applies to a dot-product but not a cross product, since
a x b = - b x a
the dot product is commutattive but can't be associative since it gives a scalar, but yeah the cross product is neither.