Show that the lines `(x-1)/4=(2-y)/(6)=(z-4)/(12) and (x-3)/(-2)=(y-3)/(3)=(5-z)/(6)` are parallel.

Show that the lines (x-1)/(4)=(2-y)/(6)=(z-4)/(12) and (x-3)/(-2)=(y-3)/(-2)=(5-z)/(6) are parallel.

Show that the lines (x-3)/(2)=(y-5)/(-1)=(z+7)/(4) and (x-15)/(4)=(y+12)/(-2)=(z-8)/(8) are parallel.

Show that the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(3)and(x-1)/(-3)=(y-4)/(2)=(z-5)/(1) are coplanar. Also, find the plane containing these lines.

Show that the lines (x-3)/(1)=(y-5)/(-2)=(z-7)/(1) and (x-1)/(7)=(y-1)/(6)=(z-1)/(7) are skew lines and find the shortest distance between them.

Show that the lines (x-1)/(3)=(y+1)/(2)=(z-1)/(5)and(x+2)/(4)=(y-1)/(3)=(z+1)/(-2) do not intersect.

The straight lines (x-3)/(2)=(y+5)/(4)=(z-1)/(-13)and(x+1)/(3)=(y-4)/(5)=(z+2)/(2) are

The line through of the plane passing through the lines (x-4)/(1)=(y-3)/(1)=(z-2)/(2) and (x-3)/(1)=(y-2)/(-4)=(z)/(5) is

Show that the lines (x-1)/(-3)=(11y-22)/20 =(z-3)/2 and (11-11x)/30 =(y-5)/1=(6-z)/5 are perpendicular to each other.

Find tha angle between the lines (x-20)/(1)=(y+15)/(2)=(z-3)/(-2) and (x+5)/(6)=(y+3)/(3)=(z-16)/(6)

If the lines (x-1)/(-3)=(y-2)/(2k) =(z-3)/2 and (x-1)/(3k) =(y-5)/1=(z-6)/(-5) are mutually perpendicular then k is equal to