EQUATION OF PLANE PASSING THROUGH LINE OF INTERSECTION OF TWO GIVEN PLANES

Plane|| Vector Equation OF Plane|| Cartesian Form|| Normal Equation OF Plane|| Equation OF Plane Passing through 3 Points || Condition OF 2 planes( Perpendicular , Overlap condition)

A line L passes through the point P(5,-6,7) and is parallel to the planes x+y+z=1 and 2x-y-2z=3. What are the direction ratios of the line of intersection of the given planes?

A line L passes through the point P(5,-6,7) and is parallel to the planes x+y+z=1 and 2x-y-2z=3 . What are the direction ratios of the line of intersection of the given planes

TRANSVERSALS A line intersecting two or more given lines in a plane at different points is called a transversal to the given lines.

P_(1) : x + 3y - z = 0 and P_(2) , y + 2z = 0 are two intersecting planes P_(3) is a plane passing through the point (2,1,-1) and through the line of intersection of P_(1) and P_(2) Equation of P_(3) is

A plane intersects the x,y,z axis at A,B,C respectively. If G(1,1,2) is centroid of triangleABC , then the equation of the line perpendicular to plane and passing through G is

A line L lies in the plane 2x-y-z=4 such that it is perpendicular to the line (x-2)/(2)=(y-3)/(1)=(z-4)/(5) . The line L passes through the point of intersection of the given line and given plane. Which of the following points does not satisfy line L?