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

If the planes 2x - 4y + 3z = 5 and x + 2y + gamma z = 12 are perpendicular to each other, what is the value of lamda ?

Find the value of p, so that the lines (1 -x)/(3) = ( 7y - 14)/(2p) = ( z -3)/( 2) and ( 7-7x)/(3p) = ( y-5)/(1) = ( 6 - z)/(5) are intersect each other are right angle.

Find the angle between the pari of lines given by (x -1)/(2) = (y -2)/(3) = (z -3)/(4) and (x -3)/(4) = (y -2)/(3) = (z -1)/(2).

Mention the condition under which the lines ( x - x _(1))/( l _(1)) = ( y - y _(1))/( m _(1)) = ( z - z _(1))/( n _(1)) and ( x - x _(2))/( l _(2)) = ( y-y _(2))/( m _(2)) = ( z - z _(2))/( n _(2)) will be perpendicular to each other.

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

Answer the question Find the value of lamda for which the planes 2x - 4y + 3z = 7 and x + 2y + lamda z = 18 are perpendicular to each other.

Find the direction cosines of the line (4-x)/(2)=(y)/(6)=(1-z)/(3) .