Set of points equidistant from two points

[lat3ralus65]

Homework Statement

Find an equation of the set of all points equidistant from the points A(-1,5,3) and B(6,2,-2). Describe the set.

Homework Equations

None...

The Attempt at a Solution

Um, I've drawn a graph of the two points and that's about as far as I could get. I know the answer should be a plane going between the two points... but how do I find the equation?

 

[NateTG]

Um, I've drawn a graph of the two points and that's about as far as I could get. I know the answer should be a plane going between the two points... but how do I find the equation?

Do you know how to write a generic equation for a plane?