Finding the equation of the plan. Mediator of the segment of extreme A(1,-2,6) and B(3,0,0)
The coordinates of are
So the equation of the plan, which has as orthogonal vector, will be :
With d to determine. And for this, you will have to use the fact that it goes throught the midpoint of AB.
Coordinates of the midpoint of [AB] : , that is to say .
This point is on the plane, so substitute and get d.
After that, divide the equation by 2.