germany-abitur 2021 Q4

germany-abitur · Other · abitur__bayern_geometrie 3 marks Vectors 3D & Lines Normal Vector and Plane Equation
The points $A ( 6 | 0 | 4 ) , B ( 0 | 6 | 4 ) , C ( - 6 | 0 | 4 )$ and $D$ lie in the plane $E$ and form the vertices of the square base of a pyramid ABCDS with apex $S ( 0 | 0 | 1 )$. $A , B$ and $S$ lie in the plane $F$.
Determine an equation of plane $F$ in coordinate form.
The points $A ( 6 | 0 | 4 ) , B ( 0 | 6 | 4 ) , C ( - 6 | 0 | 4 )$ and $D$ lie in the plane $E$ and form the vertices of the square base of a pyramid ABCDS with apex $S ( 0 | 0 | 1 )$. $A , B$ and $S$ lie in the plane $F$.

Determine an equation of plane $F$ in coordinate form.