I am studying Riemannian Geometry and General Relativity and feel like I dont have enough practice with covariant vectors. I can convert vector components and basis vectors between contravariant and covariant but I cant do anything else with them in the covariant form. I thought converting the familar graph of spherical coordinates to its covariant equivalent and plotting some covariant vectors on it would be a good exercise. I spent but a lot of time on it and couldnt do it. Does anyone know where I can find some good excerises like this or a drawing of the covariant equivalent of spherical coordinates?