The xy plane is the boundary between two transparent media.  Medium 1 with  $z\ge 0$ has a refractive index of $\sqrt{2}$  and medium 2 with $z\le 0$  has refractive index of $\sqrt{3}$  .  A ray of light in medium 1 given by the vector $6\sqrt{3}\widehat{i}+8\sqrt{3}\widehat{j}-10\widehat{k}$  is incident on the plane of separation.  Find the angle of refraction in medium 2 vector in the direction of the refracted ray in medium 2