1. The problem statement, all variables and given/known data Show that ax(bxc)=(a*c)b-(a*b)c. Why is it reasonable that ax(bxc) is some combination of b and c? [The * indicates the dot product in this case because I can't find the appropriate latex symbol] 3. The attempt at a solution I've shown the first part, but have no real idea how to describe the second. The best I've got so far: It is reasonable because b and c are components of the final cross product with a. That definitely seems lacking to me. Any help on how to answer the 2nd part of the question would be much appreciated.