3.3.29 Line and plane in space

condition: Given straight lines 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) determine whether the lines \( m \) and \( l \) lie in the same plane; b) determine the angle between the lines \( m \) and \( l \); c) compose an equation of the plane passing through the point \( A(1,1,1) \) parallel to the lines \( m \) and \( l \).