Given the lines $r \equiv \left\{ \begin{array} { l } x - y = 2 \\ 3 x - z = - 1 \end{array} \right. , s \equiv \left\{ \begin{array} { l } x = - 1 + 2 \lambda \\ y = - 4 - \lambda \\ z = \lambda \end{array} \right.$ it is requested:\ a) (1 point) Calculate the relative position of lines $r$ and $s$.\ b) (0.5 points) Find the equation of the plane perpendicular to line $r$ and passing through point $P ( 2 , - 1,5 )$.\ c) (1 point) Find the equation of the plane parallel to line $r$ that contains line s.
Given the lines $r \equiv \left\{ \begin{array} { l } x - y = 2 \\ 3 x - z = - 1 \end{array} \right. , s \equiv \left\{ \begin{array} { l } x = - 1 + 2 \lambda \\ y = - 4 - \lambda \\ z = \lambda \end{array} \right.$ it is requested:\
a) (1 point) Calculate the relative position of lines $r$ and $s$.\
b) (0.5 points) Find the equation of the plane perpendicular to line $r$ and passing through point $P ( 2 , - 1,5 )$.\
c) (1 point) Find the equation of the plane parallel to line $r$ that contains line s.