3.3.29 Line and Plane in Space

Condition: Directs are given in space: \ [m: \ frac {x+1} {1} = \ frac {y-2} {-2} = \ frac {z+3} {1} \ quad \ text {and} \ quad L: \ frac {x} {-3} = \ frac {y-1} {1} = \ frac {z-1} {3 \] a) to determine whether the direct \ (m \) and \ (l \) in one plane lie; b) determine the angle between the lines \ (m \) and \ (l \); c) compose the equation of the plane passing through the point \ (a (1.1.1) \) parallel to the direct \ (m \) and \ (l \).