The xz plane separates two media A and B...

The `xz` plane separates two media `A` and `B` with refractive indices `mu_(1)` & `mu_(2)` respectively. A ray of light travels from `A` to `B`. Its directions in the two media are given by the unit vectors, `vec(r)_(A)=a hat i+ b hat j` & `vec(r)_(B)= alpha hat i + beta hat j` respectively where `hat i` & `hat j` are unit vectors in the `x` & `y` directions. Then :

`mu_(1)a=mu_(2)alpha`

`mu_(1)alpha=mu_(2)a`

`mu_(1)b=mu_(2)beta`

`mu_(1)beta=mu_(2)b`

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