3.3.1 Line and plane in space

Problem: Do the points \( A(1 ; \Gamma ; 2), B(-1 ; H ; 3), C(0 ; \Gamma ; 4) \), \( D(2 ; 2 ; \mathrm{H}) \) lie on the same plane? \[ \Gamma=\mathrm{H}=2 \text {. } \]