## Curl of the product of a scalar and a vector using Levi-Civita

By Eliezer Estrecho

To prove this formula, we use the following:

Where: and

Using the equation above:

We can factor out in the first term to give:

Note that for the second term, the permutation of indices are odd, rearranging them to ijk will give the negative:

Thus,

About the author: Eliezer Estrecho is currently a MS Physics student of MSU-IIT.