I just started reading from a differential forms book, and I've been struggling with the following problem:
Find the values $\omega_{X}(v)$ of the $1$-forms of $\omega$ at all possible locations $X$ and directions $V$ for
$$\omega = (y^2 - x^2)\mathop{dx} + y^2 \mathop{dy} + z\mathop{dx} + y \mathop{dy} - xy^{2} \mathop{dz}$$
for $X = (2,3),(3,5),(1,-1),(2,3,4)$ and $V = (3,-7,1),(4,5),(-2,1)$.
I really have no idea how to stat this problem, and the book doesn't have many examples similar to it. I was wondering if someone could please explain the answer to me in a slow way for someone new to this type of thing.