Home
Class 12
MATHS
Statement 1: The direction cosines of...

Statement 1: The direction cosines of one of the angular bisectors of two intersecting line having direction cosines as `l_1,m_1, n_1a n dl_2, m_2, n_2` are proportional to `l_1+l_2,m_1+m_2, n_1+n_2dot` Statement 2: The angle between the two intersection lines having direction cosines as `l_1,m_1, n_1a n dl_2, m_2, n_2` is given by `costheta=l_1l_2+m_1m_2+n_1n_2dot`

Promotional Banner

Similar Questions

Explore conceptually related problems

Two lines with direction cosines l_(1),m_(1),n_(1) and l_(2), m_(2), n_(2) are at right angle of

The direction cosines of the lines bisecting the angle between the line whose direction cosines are l_1, m_1, n_1 and l_2, m_2, n_2 and the angle between these lines is theta , are

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

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

The direction cosines of the lines bisecting the angle between the lines whose direction cosines are l_(1),m_(1),n_(1) and l_(2),m_(2),n_(2) and the angle between these lines is theta, are

Find the acute angle between the two straight lines whose direction cosines are given by l+m+n=0 and l^(2)+m^(2)-n^(2)=0

The direction cosines of the lines bisecting the angle between the lines whose direction cosines are I_(1),m_(1),n_(1) and I_(2),m_(2),n_(2) and the angle between these lines is theta ,are

If theta is the acute angle between two intersecting straight lines, one having direction cosines l_(1),m_(1),n_(1) and the other having direction cosines l_(2),m_(2),n_(2) then sin^(2)theta =