germany-abitur 2021 Q3

germany-abitur · Other · abitur__bayern_geometrie 4 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 $F$.
Show by calculation that the triangle ABS is isosceles. Give the coordinates of point $D$ and describe the special position of plane $E$ in the coordinate system. 
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 $F$.

Show by calculation that the triangle ABS is isosceles. Give the coordinates of point $D$ and describe the special position of plane $E$ in the coordinate system.
Paper Questions
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10