I am trying to understand the idea of contraction by computing the contraction of
$$dx\wedge dy \wedge dz$$
over the vector field
$$x\frac{\partial }{\partial y}-z\frac{\partial }{\partial x}$$
I got that this is equal to
$$dx(-z\frac{\partial }{\partial x})\wedge dy \wedge dz+dx\wedge dy(x\frac{\partial }{\partial y})\wedge dz$$ $$=-zdy\wedge dz+xdx\wedge dz$$
Is this correct?