If `l_(1), m_(1), n_(1)` and `l_(2), m_(2), n_(2)` are the direction cosines of two lines and `l`, m, n are the direction cosines of a line perpendicular to the given two lines, then

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) .

l = m = n = 1 are the direction Cosines of

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,m,n are direction cosines of the line then -l,-m,-n can be

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 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,m,n are the direction cosines of a half line op then the maximum value of l.m.n is

If l, m, n are direction cosines of a line, then the maximum value of lm+mn+nl is