3.4․17 Tangents and Normals

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