3.4․17 Tangents and normals

condition: 1) Create an equation of lines passing through the point \( M_{0}(3 ;-1 ; 2) \) a) parallel to the given line \( L_{0}: \frac{x+2}{2}=\frac{y-1}{3}=\frac{z+2}{-2} \); b) parallel to the line of intersection of the planes \( \quad a_{1}: 2 x+2 y-z-3=0 \), \( a_{2}: x-2 y+3 z+5=0 \). 2) Find the point of intersection of the line obtained in task 1a) with the plane \( a_{3}: x+y-2 z+7=0 \) and the angle between this line and the plane \( a_{3} \).