# Tag Info

Basically, vectors are called contravariant because their components transform oppositely to the basis vectors: if our change of coordinates is such that $$\frac{\partial}{\partial x^i} = \frac{\partial y^j}{\partial x^i} \frac{\partial}{\partial y^j}$$ then if we have a vector $\mathbf{V}$, its components $V^i_x$ in the $x$ coordinates are related to its ...