Determine the scalar equation of a plane where any point on that plane is equidistant to the points A(-1, -4, 0) and B(5, 2, 4)

4 answers

So it must go through the midpoint of AB
and the direction of AB would become the normal of the plane.

Can you take it from there?
Sorry, but how does that work?
Do you know the meaning of normal?
Do you know how to find a midpoint given the two endpoints?

I don't think you will able to do any of these rather straightforward problems
if you don't know these type of concepts.
If you are looking for just answers, you have come to the wrong website.
Again … make good use of https://www.khanacademy.org/