Find the points on the lines `(x-6)/3=(y-7)/(-1)=(z-4)/1 and x/(-3)=(y-9)/2=(z-2)/4`. Which are nearest to each other.

The line (x-2)/1=(y+4)/(2)=(z-3)/3 and x/2=(y-1)/(4)=(z+3)/(6) are

Find the shortest distance between the lines (x-1)/2=(y-2)/4=(z-3)/7 and (x-1)/4=(y-2)/5=(z-3)/7

Show that the lines (x-5)/4=(y-7)/4=(z+3)/(-5) and (x-8)/7=(y-4)/1=(z-5)/3 intersect each other

A line with cosines proportional to 2,7-5 drawn to intersect the lines (x-5)/3=(y-7)/-1=(z+2)/1 ; (x+3)/-3=(y-3)/2=(z-6)/4 .Find the co- ordinates of the points of intersection and the length intercepted on it.

The lines (x-1)/1=(y-2)/2=(z-3)/(3) and (x-1)/1=y/3 =z/4 are

Find the value of k so that the lines (1-x)/(3) = (y-2)/(2k) = (z-3)/(2) and (1+x)/(3k) = (y-1)/(1) = (6-z)/(7) are perpendicular to each other.

Find the angle between the pair of lines (x-1)/2=(y-3)/4=(z+2)/6 and (x+1)/1=(y-2)/1=(z-3)/4

The point of intersection of the lines (x-5)/3=(y-7)/(-1)=(z+2)/1a n d=(x+3)/(-36)=(y-3)/2=(z-6)/4 is a. (21 ,5/3,(10)/3) b. (2,10 ,4) c. (-3,3,6) d. (5,7,-2)

The point of intersection of the lines (x-5)/3=(y-7)/(-1)=(z+2)/1 and (x+3)/(-36)=(y-3)/2=(z-6)/4 is (A) (21 ,5/3,(10)/3) (B) (2,10 ,4) (C) (-3,3,6) (D) (5,7,-2)

Find the image of the line (x-1)/3=(y-2)/4=(z-3)/5 on the plane x-2y+z+2=0 .