1. The problem statement, all variables and given/known data Show that there is no vector ⃗e that has the property of the number 1 for cross product, namely that ⃗e × ⃗x = ⃗x for all ⃗x. 2. Relevant equations I'm sorta stuck on how to show this. 3. The attempt at a solution I set e=(e1,e2,e3) and x=(x1,x2,x3) and used cross product to multiply it out but got stuck there.