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If `l_1,""""m_1,""""n_1` and `l_2,""""m_2,""""n_2` are the direction cosines of two mutually perpendicular lines, show that the direction cosines of the line perpendicular to both of these are `m_1n_2-m_2n_1, n_1l_2-n_2l_1, l_1m_2-l_2m_1` .

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