$2\mathrm{.}11.$ In a cubic crystal, the angle between a plane $P$ and $(111)$ is $53\mathrm{.}96,$ and $P$ lies in the $[$o$10]$ zone.

$($a$)$ Find the Miller indices of the plane P$.$

$($b$)$ Find the angle between P and the plane $P**$ if $P**$ is related to P by a mirror plane parallel to $($

$\frac{1}{b}ar(1)0$