Let L₁ be the line of intersection of the planes given by the equations 2x + 3y + z = 4 and x + 2y + z = 5. Let L₂ be the line passing through the point P(2, −1, 3) and parallel to L₁. Let M denote the plane given by the equation 2x + y − 2z = 6. Suppose that the line L₂ meets the plane M at the point Q. Let R be the foot of the perpendicular drawn from P to the plane M. Then which of the following statements is (are) TRUE?