I was going through the conventions and terminologies followed to describe the magnetic interactions. I understood that the field lines are just a simpler representation of the magnetic interaction described in terms of a vector field.
So those field lines basically relates to the line of force due to magnetic interactions. I hope this understanding is right.
And the magnetic flux is defined as net magnetic field lines crossing the area. And so flux indirectly relates to the magnetic forces.
After all these understandings I considered Gauss law of magnetism which states that the total magnetic flux through a closed surface is equal to zero. The observation that magnetic monopoles do not exist supports this law.
Without involving surface integrals concept (Area vector) why can't I say If the flux is zero, Field lines are zero? And if yes Can I say that the magnetic force inside a closed surface is zero?
But this conflicts with my general understanding of the field line. Why should a close surface affect the force due to magnetic interaction?
If the surfacae integral is necessary to answer to this Question why the surface area vector is related to force vector in Gauss Law?