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Let a unit vector \overrightarrowOP make angles α,β,γ with the positive directions of the coordinate axes OX, OY, OZ respectively, where β\in\left(0,\tfracπ2\right). If \overrightarrowOP is perpendicular to the plane through points (1,2,3), (2,3,4) and (1,5,7), then which one of the following is ... | Watch the step-by-step video solution for this NIMCET PYQ.