I wish to plot a distribution in R3 as in the picture below

I know that Wolfram allows to plot sveral vector fields as it is in the page

VectorPlot3D[{field1,field2,…},{x,xmin,xmax},{y,ymin,ymax},{z,zmin,zmax}]

Question: How do I fill out the part field1, field2? Do I have to define a function?

Remark: In my specific problem, I have a field of hyperplanes $ H$ on $ \mathbb R^3$ generated by the vector fields

$ $ H= \{\partial_x, \partial_y – x \partial_z\}$ $