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

Angle between two lines in vector and cartesian form

Shortest distance between two skew lines in vector + cartesian form

Shortest distance between two parallel lines in vector + cartesian form

Find the equation of the planes bisecting the angles between planes 2x+y+2z=9 and 3x-4y+12z+13=0

The equation ofthe plane which bisects the angle between the planes 3x-6y+2z+5=0 and 4x-12y+3z-3=0 which contains the origin

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.

Distance of a point from plane (vector + cartesian)

Let vec n be a vector of magnitude 2sqrt(3) such that it makes equal acute angle with the coordinate axes.Find the vector and cartesian forms of the equation of plane passing from (1,-1,2) and normal to vec n.