# Is the direction of energy flux arbitrary for the poynting vector?

So for the poynting vector, we have $$\vec S=\vec E\times\vec B$$, which would give us a vector (energy flux) that is perpendicular to both the electric field and magnetic field. The problem for me is that it reminds me of torque, which is a vector and it's direction follows the right hand rule, which is just a convention.

So in that case, would the energy flux direction be arbitrary?

I ask this because there is the case where a system with a static electric field that is perpendicular to a static magnetic field has an energy flux in a certain direction.

Would the energy flux look like a dipole?

Edit: I couldn't figure out how to type in the right form of the equation, so thanks!

$$\vec F=q\vec v\times\vec B$$