Let \( L_{1} \) be the line of intersection of the planes given by the equations \( 2x+3y+z=4 \) and \( x+2y+z=5 \).
Let \( L_{2} \) be the line passing through the point \( P(2,-1,3) \) and parallel to \( L_{1} \). Let \( M \) denote the plane given by the equation \( 2x+y-2z=6 \).
Suppose that the line \( L_{2} \) 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?
