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Two plane mirrors are combined to each o...

Two plane mirrors are combined to each other as such one is in (y-z) plane and other is in (x-z)plane.A ray of light along vector `(1)/(sqrt(3)) hati +(1)/(sqrt(3))hatj +(1)/(sqrt(3))hatk` is incident on the first mirror. Find the unit vector in the direction of emergence ray after successive reflections through these mirros.

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