Equation of Plane Bisecting the angle between two planes in vector and cartesian form

Angle between two lines in vector and cartesian form

Derive the equation of a plane in normal form both in the vector and Cartesian form .

Find the equation of the plane bisectiing the angles between the planes: x+2y+2z-3=0, 3x+4y+12z+1=0 and specify the plane, which bisects the acute angle.

Find the equations of the plane bisecting the angles between the planes x+22y+2z-3=0, 3x+4y+12z=1=0 and specify the plane which bisects the acute angle between them.

If vec n is a vector of magnitude sqrt(3) and is equally inclined with an acute angle with the coordinate axes. Find the vector and Cartesian forms of the equation of a plane which passes through (2, 1, -1) and is normal to vec n .

If vec n is a vector of magnitude sqrt(3) and is equally inclined with an acute angle with the coordinate axes. Find the vector and Cartesian forms of the equation of a plane which passes through (2, 1, -1) and is normal to vec n .

Find the equation of the bisector planes of the angles between the planes 2x-y+2z-19=0 and 4x-3y+12z+3=0 and specify the plane which bisects the acute angle and the planes which bisects the obtuse angle.

Find the equation of the bisector planes of the angles between the planes 2x-y+2z-19=0 and 4x-3y+12z+3=0 and specify the plane which bisects the acute angle and the planes which bisects the obtuse angle.

Distance of a point from plane (vector + cartesian)