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?