Aline L, having direction ratios 1, 0, 1 lies on xz plane. Now this xz plane is rotated about z-axis by an angle of `90^@`. Now the new position of ` L_1, is L_2`. The angle between `L_1, & L_2, is`

The direction consines of a line which lies in XZ-plane and making an angle of 30^(@) with positive Z-axis are

Consider two lines L_1:2x+y=4 and L_2:(2x-y=2) .Find the angle between L1 and L2 .

In xy-plane, a straight line L_1 bisects the 1st quadrant and another straight line L_2 trisects the 2nd quadrant being closer to the axis of y . The acute angle between L_1 and L_2 is

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 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 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

L_1 and L_2 " are two intersecting lines. If the image of " L_1 " w.r.t. " L_2 " and that of " L_2 " w.r.t. " L_1 " concide, then the angle between " L_1 and L_2 is

Find the direction ratios of the line bisecting the angles between the lines whose direction cosines are l_(1), m_(1), n_(1) and l_(2), m_(2), n_(2) and the angle between the lines is theta .

Lines L_(1) & L_(2) are rotating in an anticlockwise direction about the points A(-2,) and B(2,0) respectively in such a way that the speed of angle of rotation of line L_(2) is double as that of L_(1) . Initially equations of both lines are y = 0. If the angle of rotation of line L_(2) varies between 0 to (pi)/(2) , then the locus of point of intersection P of lines L_(1) & L_(2) is part of a circle whose radius is equal to