The equation of a plane is determined by three non-collinear points and Take the two vectors and in the plane and use the cross product to find a vector n perpendicular to the plane. Pick an...

The equation of a plane is determined by three non-collinear points
and
Take the two vectors

and
in the plane and use the cross product to find a vector n perpendicular to the plane. Pick an arbitrary point

in the plane and require that

This generates what is called the normal equation of a plane.

Draw a figure that illustrates this process.

Find the equation of the plane containing the points