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

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.

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 ?

What is the angle between the planes x + y + 2z = 6 and 2x - y - z =9 ?

Find the equation of the tangents to the ellipse 3x ^2 + 4y ^2 = 12 which are perpendicular to the line 2x +y - 4 = 0.

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.

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.

Reduce the equation of plane 2x - 4y + 4z + 15 =0 to its normal form.