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` .

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_(1)n_(2)-m_(2)n_(1),n_(1)l_(2)-n_(2)l_(1),l_(1)m_(2)-l_(2)m_(1) .

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_(1)n_(2)-m_(2)n_(1),n_(1)l_(2)-n_(2)l_(1),l_(1)m_(2)-l_(2)m_(1) .

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_(1)n_(2)-m_(2)n_(1),n_(1)l_(2)-n_(2)l_(1),l_(1)m_(2)-l_(2)m_(1) .

If "l"_1,("\ m")_1,("\ n")_1("\ and\ l")_2,("\ m")_2,"n"_2 be the direction cosines of two mutually perpendicular lines, show that the direction cosines of the line perpendicular to both of them are ("m"_1("\ n")_2-"m"_2"n"_1),"\ "("n"_1"l"_2-"n"_2"l"_1),"\ "("l"_1"m"_2-"l"_2"m"_1)dot

If l_1,m_1,n_1andl_2,m_2,n_2 are the direction cosines of two mutually perpendicular lines show that the d.cs. Of the line perpendicular to both of them are m_1n_2-n_1m_2,n_1l_2-l_1n_2,l_1m_2-m_1l_2

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 them are m_(1)n_(2) - n_(1)m_(2), n_(1)l_(2) - l_(1)n_(2), l_(1)m_(2) - m_(1)l_(2)