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

(i) Show that the line (x+3)/(2) = (y+1)/(-1) = (z+3)/(3) and (x)/(5) = (y-5)/(1) = (z-3)/(-3) are perpendicular. (ii) Show that the lines (x-4)/(-2) = (y+3)/(4) = (z+1)/(1) are mutually perpendicular.

If the lines (x -1)/(-3) = (x - 2)/(2k) = (z - 3)/(2) and (x - 1)/(3k ) = (y -1)/(1) = (z - 6)/(-5) are perpendicular to each other, then the value of k is ,

(i) Find the value of 'p' so that the lines : l_(1) : (1 - x)/(3) = (7y -14)/(2p) = (z - 3)/(2) and l_(2) : (7 -7x)/(3p) = (y - 5)/(1) = (6 - z)/(5) are at right angles. Also, find the equations of the line passing through (3,2, -4) and parallel to line l_(1) . (ii) Find 'k' so that the lines : (x - 3)/(2) = (y + 1)/(3 ) = (z - 2)/(2k) and (x + 2)/(1) = (4 -y)/(k) = (z + 5)/(1) are perpendicular to each other.

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 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