I want to visualize vector field that is of the form
$(v_1(x,y), v_2(x,y), v_3(x,y))$,
i.e. there is a three component vector that depends on only two coordinates $x$ and $y$ in the real plane. There are Mathematica functions
VectorPlot3D but both of them assume that the dimensionality of the space is the same as the number of vector components. In the latest version of Mathematica there also seems to be something called
SliceVectorPlot3D, but I don't have this in my Mathematica so I would prefer to use some other way. Furthermore, if it matters at all, the vectors are normalized so that I only care about the direction of the vector at a given point on the plane.
How do I do this?
EDIT: Here's an example of something I would like to get: