1. The problem statement, all variables and given/known data I don't know how to prove it. Let us consider two arbitrary vectors ⃗ A and ⃗B. Let us deﬁne the vector product of them as ⃗C = ⃗A × ⃗B Show that the vector ⃗C belongs to the Rank 1 tensor. In other words, prove that C′i = λij Cj where Ci ≡ ϵij k Aj Bk C′i ≡ ϵijk A′j B′k 2. Relevant equations 3. The attempt at a solution I just tried, but I don't know about it.