Let the x – z plane be the boundary between two transparent media. Medium 1 in z ≥ 0 has a refractive index of \sqrt{2} and medium 2 with z < 0 has a refractive index of \sqrt{3}. A ray of light in medium 1 given by the vector \overset{\rightarrow}{A} = 6 \sqrt{3} \textrm{ } \hat{i} + 8 \sqrt{3} \textrm{ } \hat{j} - 10 \textrm{ } \hat{k} is incident on the plane of separation. The angle of refraction in medium 2 is :

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Let the x – z plane be the boundary between two transparent media. Medium 1 in z ≥ 0 has a refractive index of $\sqrt{2}$ and medium 2 with z < 0 has a refractive index of $\sqrt{3}$ . A ray of light in medium 1 given by the vector $\vec{A} = 6 \sqrt{3} \hat{i} + 8 \sqrt{3} \hat{j} - 10 \hat{k}$ is incident on the plane of separation. The angle of refraction in medium 2 is :