If lines `(x-3)/(2)=(y+1)/(-3)=(z+a)/(p)` and `(x+2)/(2)=(y-4)/(4)=(z+5)/(2)` are perpendicular coplanar lines, then

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 : (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 .

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

The lines (x)/(1)=(y)/(2)=(z)/(3)and(x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6) are

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

(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.

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

The lines (x-1)/(2)=(y-2)/(4)=(z-3)/(7) and (x-1)/(4)=(y-2)/(5)=(z-3)/(7) are (A) perpendicular (B) intersecting (C) skew (D) parallel

The complete set of values of alpha for which the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-3)/(2) =(y-5)/(alpha)=(z-7)/(alpha+2) are concurrent and coplanar is

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