with two indices. The amazing relationship between these two symbols is that the product of epsilon ijk with epsilon lmn is equal to the determinant of a three-by-three matrix consisting of Kronecker deltas.
The Remarkable Relationship between the Levi-Civita Symbol and the Kronecker Delta | Deep Dive Maths
you're going to need an identity. Let me write that down here. If we look at epsilon ijk times epsilon lmn, we have 6 indices here. None of them are repeated, so none of them are what we say contract. There's no summation
Kronecker delta and Levi-Civita symbol | Lecture 7 | Vector Calculus for Engineers