Class 12

Math

3D Geometry

Three Dimensional Geometry

Find the equation of the plane which contains the line of intersection of the planes $x+2y+3z4=0$and $2x+yz+5=0$and whose $x−$intercept is twice its z-intercept.Hence write the vector equation of a plane passing through the point $(2,3,1)$and parallel to the plane obtained above.