3.3.35 Line and plane in space
condition: Find the angle between the line \( (A B) \) and the plane \( (C D E) \), where \( A(1 ; 2 ; 2), B(-1 ; 4 ; 1), C(2 ; 0 ; 4) \), \( D(2 ; 4 ; 1), \quad E(4 ; 2 ; 3). \quad \) First write the equations of the line and the plane.
Straight lines and planes in space. Intersection of lines and planes, calculation of the distance of a line and a plane, angles between lines and planes, finding equations of lines and planes in space, and much more.