Consider two lines formed by intersection of the planes,
\[ l _ { 1 } = \left\{ \begin{array} { l } { 3 x + 2 y + 5 z - 1 = 0 } \\ { - x + 2 y + 3 z - 1 = 0 } \end{array} \right. , l _ { 2 } = \left\{ \begin{array} { l } { 4 x - 6 y + 7 z + 2 = 0 } \\ { 5 x + 3 y - 8 z - 3 = 0 . } \end{array} \right.\tag{10} \]
Find out if these lines are
parallel to each other,
crossing each other at some point.