Let L be the straight line joining the points P(1, 2, −1) and Q(2, 3, 1). Let S be the foot of the perpendicular drawn from the point R(4, −1, 5) to the line L. Another line passing through R intersects L at a point T such that the point S divides the line segment PT internally in the ratio |PS| : |ST| = 1 : 2, where |PS| and |ST| are the lengths of the line segments PS and ST, respectively. Then which of the following statements is (are) TRUE?