This note is part of the collection of quick notes, corresponding to short writings on diverse topics of everyday use in the Atmospheric Sciences and Geophysical Fluid Dynamics.

This note shows some properties of the Levi-Civita Symbol, which is extremely useful in tensor manipulations, greatly simplifying the vectorial calculations related to the vector product between vectors. These notes are based on chapter 1 of the excellent book by \citet{Sepulveda_2009}.