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Use i) the Ampere’s law for H and ii) continuity of lines of B, to conclude that inside a bar magnet a) lines of H run from the N pole to S pole, while b) lines of B must run from the S pole to N pole.

The amperian loop is denoted by the letter C.

We can find the angle between the two points by solving the above equation.
cos is negative because it is greater than 90o.