Show that the lines :
(i) `(x -5)/(7) = (y + 2)/(-5) = (z)/(1) " " and (x)/(1) = (y)/(2) = (z)/(3)`
(ii)` (x - 3)/(2) = (y + 1)/(-3) = (z - 2)/(4) and (x + 2)/(2) = (y - 4)/(4) = (z + 5)/(2)` are perpendicular to each other .

Show that the lines (x-3)/(2)=(y+1)/(-3) =(z-2)/(4) " and " (x+2)/(2) =(y-2)/(4) =(z+5)/(2) are perpendicular to each other .

Show that the lines (x-5)/(7) =(y+2)/(-5)=(z)/(1) " and " (x)/(1) =(y)/(2)=(z)/(3) are at right angles .

Show that the lines (x+5)/(7) = (y +2)/(-5) = (z)/(1) and (x)/(1) = (y)/(2) = (z )/(3) are perpendicular to each other.

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

Show that the lines (x-5)/(7)=(y+2)/(-5)=(z)/(1) and quad (x)/(1)=(y)/(2)=(z)/(3) are perpendicular to each other.

Find the S.D. between the lines : (i) (x)/(2) = (y)/(-3) = (z)/(1) and (x -2)/(3) = (y - 1)/(-5) = (z + 4)/(2) (ii) (x -1)/(2) = (y - 2)/(3) = (z - 3)/(2) and (x + 1)/(3) = (y - 1)/(2) = (z - 1)/(5) (iii) (x + 1)/(7) = (y + 1)/(-6) = (z + 1)/(1) and (x -3)/(1) = (y -5)/(-2) = (z - 7)/(1) (iv) (x - 3)/(3) = (y - 8)/(-1) = (z-3)/(1) and (x + 3)/(-3) = (y +7)/(2) = (z -6)/(4) .

Show that the lines (x-1)/(2)=(y-2)/(y-1)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=z intersect

Show that the line 3x - 2y + 5 = 0 , y + 3z - 15 = 0 and (x -1)/(5) = (y + 5)/(-3) = (z)/(1) are perpendicular to each other .

The value of alpha for which the lines (x-1)/(2)=(2y-1)/(3)=(1-3z)/(alpha) and (x+1)/(2)=(3y-5)/(2)=(z-4)/(3) are perpendicular to each other is

Find the angle between the lines (5-x)/(3)=(y+3)/(-4) ,z=7 " and " (x)/(1) =(1-y)/(2)=(z-6)/(2)