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Let li,mi,ni; i=1,2,3 be the direction c...

Let `l_i,m_i,n_i; i=1,2,3` be the direction cosines of three mutually perpendicular lines referred to an orthogonal cartesian co–ordinate system, then prove that `A=[[l_1,m_1,n_1] , [l_2,m_2,n_2] , [l_3,m_3,n_3]]`is an orthogonal matrix.

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