Prove that the lines `(x+1)/(3)=(y+3)/(5)=(z+5)/(7) and (x-2)/(1)=(y-4)/(4)=(z-6)/(7)` are coplanar. Also, find the plane containing these two lines

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

The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)/(1) are coplanar, if

If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (z+1)/(5)=(y+1)/(2)=(z)/(k) are coplanar, then the plane(s) containing these two lines is/are

The lines (x-7)/(k)=(y-3)/(1)=(z-4)/(1) and (x-8)/(1)=(y-2)/(1)=(3-z)/(k) are coplannar then k = ......

If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(2) and (x-1)/(3k)=(y-1)/(1)=(z-6)/(-5) are perpendicular, find the value of k.

Prove that the lines x=2 (y-1)/(3) = (z-2)/(1) and x = (y-1)/(1) = (z+1)/(3) are skew lines.

The lines (x-1)/(3) = (y-1)/(-1) = (z+1)/0 and (x-4)/(2) = (y+0)/(0) = (z+1)/(3) are ......

Show that the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=z intersect. Also, find their point of intersection, Hint for solution : If shortest distance between two lines is zero then they are intersecting lines.

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

Two line whose are (x-3)/(2)=(y-2)/(3)=(z-1)/(lambda) and (x-2)/(3)=(y-3)/(2)=(z-2)/(3) lie in the same plane, then, Q. Angle between the plane containing both the lines and the plane 4x+y+2z=0 is equal to