while considering the current flow in parallel conductor. how does definitely said that the direction of magnetic field is opposite or not and direction of flux density inside the plane or outside the plane?
Magnetic field is at right-angles to the direction of current. It goes in circles round a round wire. The direction is clockwise when looking in the direction that the current is travelling. This is called right-hand rotation, and is the same way that screws normally turn.
The magnetic field due to steady current in a round wire, at any distance R, is equal to the current in the wire divided by the circumference of the loop at that distance - current/(2 pi R). If there are any magnets or other currents nearby there will be extra fields from these as well.
Magnetic force is more difficult to describe. Magnetic field lines running parallel to each other, side by side, repel. The magnetic force tries to spread then further apart. Magnetic field lines running antiparallel side by side result in an attractive force.
Magnetic field lines parallel and in line with each other result in an attractive force. Magnetic field lines antiparallel and in line (colliding with each other) result in a repulsive force.
The repulsive force is necessary otherwise it will result in perpetual motion contrary to law of conservation of energy.
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