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

????