Direction Ratio of line along the bisector of two given lines

Prove that the centre of a circle touching two intersecting lines lies on the angle bisector of the lines.

If (a,b,c) are direction ratios of a line then the direction cosines of the line (l,m,n)=

Direction ratio of the line segment joining two points

Direction cosine and ratio of line

Direction ratios of the line which is perpendicular to the lines with direction ratios (-1,2,2) and (0,2,1) are

The direction ratios of a line which is perpendicular to the two lines whose direction ratios are 3, -2, 4 and 1, 3, -2 is

The direction ratios of a line which is perpendicular to the two lines whose direction ratios are 3, -2, 1 and 2, 4, -2 is

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

Direction rations of the line which is perpendicular to the lines with direction ratios -1,2,2 and 0,2,1 are