Two short magnets $a$ and $b$ of magnetic moments $0.108\mathrm{ }\mathrm{A}\mathrm{ }{\mathrm{m}}^2$ and $0.192\mathrm{ }\mathrm{A}\mathrm{ }{\mathrm{m}}^2$ are placed along mutually perpendicular straight lines meeting at a point P. Find the magnitude and direction of magnetic field at point P, if it lies at distances $30 \mathrm{cm}$ and $60 \mathrm{cm}$ respectively from the centres of the two magnets.

Two short magnets of magnetic moments $a$ and $b$ of magnetic moments $32 \mathrm{A} {\mathrm{m}}^2$ and $27 \mathrm{A} {\mathrm{m}}^2$ are placed on a table, as shown in figure. Find the magnitude and direction of the magnetic field produced.

These magnets at point $P$ situated at the equatorial lines of both the magnets at distances $40 \mathrm{cm}$ and $30 \mathrm{cm}$ respectively from the centres of the two magnets.