Homework Statement
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...