# Vectors and Covectors

Covectors are dual to vectors, and they’re fundamental to understand differential forms and tensors.

Up to this point in the Lagrangian arc, we’ve been looking at the paths objects take through space. These paths are functions of time that output positions in space. As we continue through this series, we’ll want to look at functions of space and time. More specifically, we’ll want to take derivatives and integrals of these…