The shortest distance between the straighat lines through the point `A_1=(6,2,2) and A_2=(-4,0,-1)` in the directions 1,-2,2 and 3,-2,-2 is (A) 6 (B) 8 (C) 12 (D) 9

The shortest distance between the straight lines through the points A_(1)=(6,2,2) and A_(2)=(-4,0,-1), in the directions of (1,-2,2) and (3,-2,-2) is

The shortest distance between the line 1+x=2y=-12z and x=y+2=6z-6 is

The shortest distance between the line passing through the point (2,-1,1) and parallel to the vector (-1,1,2) and the line passing through (0,3,1) and parallel to vector (2,4,-1) is

The shortest distance between the lines x=y+2 = 6z-6 and x + 1 = 2y = - 12z is

The angle between the lines passing through the points (8, 2, 0), (4, 6, -7) and (-3, 1, 2), (-9, -2, 4) is

Show that the line through the points (1,-1,2) and (3,4-2) is perpendicular to the line through the points (0,3,2) and (3,5,6).

Show that the line through the points (1,-1,2),(3,4,-2) is perpendicular to the line through the points (0,3,2) and (3,5,6)

Show that the line joining the point A(1,-1,2) and B(3, 4, -2) is perpendicular to the line joining the points C(0,3,2) and D(3,5,6).

Show that the line through the points : (a) (1, -1, 2), (3,4,-2) is perpendicular to the line through the points (0,3,2) and (3, 5,6) (b) (4,7,8) , (2,3,4) is parallel to the line through the points (-1, -2, 1 ) and (1,2,5) .

Find the distance of the point (1,2) from the mid-point of the line segment joining the points (6,8) and (2,4)