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If three mutually perpendicular lines ha...

If three mutually perpendicular lines have direction cosines `(l_1,m_1,n_1),(l_2,m_2,n_2) and (L_3 ,m_3, n_3)`, then the line having direction cosines `l_1+l_2+l_3,m_1+ m_2+m_3, and n_1 + n_2 + n_3`, make an angle of

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