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 be the direction cosines of two lines, show that the directioin cosines of the line perpendicular to both them are proportional to ("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 the direction cosines of two lines are l_(1), m_(1), n_(1) and l_(2), m_(2), n_(2) , then find the direction cosine of a line perpendicular to these lines.

If l_1, m_1, n_2 ; l_2, m_2, n_2, be the direction cosines of two concurrent lines, then direction cosines of the line bisecting the angles between them are proportional to

If l_1,m_1,n_1 and l_2,m_2,n_2 are the direction cosines of two rays OA and OB making an angle theta then show that the direction cosines of the bisector of /_AOB are (l_1+l_2)/(2cos(theta/2)),(m_1+m_2)/(2cos(theta/2)),(n_1+n_2)/(2cos(theta/2))

Find the direction cosines of the lines, connected by the relations: l+m+n=0 and 2l m+2ln-m n=0.

Find the direction cosines of the lines, connected by the relations: l+m+n=0 and 2l m+2ln-m n=0.

Find the direction cosines of the two lines which are connected by th relations. l-5m+3n=0 and 7l^2+5m^2-3n^2=0

The direction cosines of a line equally inclined to three mutually perpendiclar lines having direction cosines as l_(1),m_(1),n_(1),l_(2),m_(2),n_(2) and l_(3), m_(3),n_(3) are