Question

WILL MEDAL!
The general equation of a plane is Ax + By + Cz = D, where A, B, C, and D are real numbers and A is nonnegative. Find the equation of the plane containing the points . Show each step of your process. Then graph the plane.

Answer 1

\[suppose~\left( x _{1},y _{1},z _{1} \right),\left( x _{2},y _{2} ,z _{2}~\right)~and~\left( x _{3} ,y _{3},z _{3}\right)\] be the three points lying on the plane Ax+By+cZ=D
put the three points in the equation and find A,B,C,D from four equations.