The \( \mathrm{x}-\mathrm{y} \) plane is the boundary between two transparent media. Medium-1 wi...

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The \( \mathrm{x}-\mathrm{y} \) plane is the boundary between two transparent media. Medium-1 with \( \mathrm{z}0 \) has refractive index \( \sqrt{2} \) and medium \( -2 \) with \( \mathrm{z}0 \) has a refractive index \( \sqrt{3} \). A ray of light in medium \( -1 \) given by the
\( P \) vector \( \mathrm{A}=6 \sqrt{3} \hat{\mathrm{i}}+8 \sqrt{3} \hat{\mathrm{j}}-10 \hat{\mathrm{k}} \) is incident on the plane of separation. Find the unit vector in the

W direction of refracted ray in medium \( -2 \).
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