Prove that the lines `(x+4)/3=(y+6)/5=(z-1)/(-2)` and `3x-2y+z+5=0=2x+3y+4z-4` are co-planar.

Show that the lines (x+3)/2=(y+5)/3=(z-7)/-3 and (x+1)/4=(y+1)/5=(z+1)/-1 are co-planar.

Prove that the line (x+5)/3=(y+4)/1=(z-7)/-2 and x/1=(y+7)/5=(z-16)/-13 are coplanar.

Proved that the line (x-1)/2=(y+2)/(-3)=(z-3)/1 lies on the plane 7x+5y+z=0

Show that the lines at (5-x)/(-4) = (y-7)/(4) = (z+3)/(-5) and (x-8)/(7) = (2y - 8)/(2) = (z-5)/(3) are coplanar.

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

What is the angle between the lines (x+2)/-4 = (y + 3)/5 = (z - 1)/3 and (1 - x)/-4 = (y - 1)/5 =(2 -z)/3 .