An agle between the plane, `x + y+ z =5` andthe line of intersection of the planes,`3x + 4y + z -1=0 and 5x +8y + 2z+ 14=0,` is :

The plane x + 3y + 13 = 0 passes through the line of intersection of the planes 2x - 8y + 4z = p and 3x - 5y + 4z + 10 =0 . If the plane is perpendicular to the plane 3x - y - 2z - 4 = 0 , then the value of p is equal to

Find the equation of the plane which is perpendicular to the plane 5x + 3y + 6z + 8 = 0 and which contains the line of intersection of the planes x + 2y + 3z - 4 = 0 and 2x + y - z + 5 = 0.

Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x - y + z = 0.

Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5, which is perpendicular to the plane x - y + z = 0.

Find the equation of the plane, which is perpendicular to the plane 5x + 3y + 6z + 8 = 0 , and which contains the line of intersection of the planes : x + 2y + 3z - 4 = 0 and 2x + y -:- z + 5 = 0 .

Find the equation of the plane which is perpendicular to the plane 5 x + 3y + 6 z +8 = 0 and which contains the line of intersection of the planes x + 2 y + 3z-4-0 and 2x+y-z+5 -0.

The angle between the planes: 3x - 4y + 5z = 0 and 2x-y-2z = 5 is:

The direction of the line of intersection of the planes 2x + 3y + z-1 = 0 and x+y-z-7 = 0 is ..............