Question

Find the equation of the set of points equidistant from the two points P= (1,2,3) and Q= (2,-2,-3)

Answer 1

sounds elliptical

Answer 2

what is a formula for an elliptical conic?

Answer 3

I do not know.

Answer 4

should be line in my opinion

Answer 5

a plane Im sorry its a plane

Answer 6

the point in the middle, lets call it M has coordinates
M=(-0.5,2,3)

Answer 7

the vector MP is a normal vector for the plane

calculate MP then insert it to the equation of a plane
now you should be missing one last constant,
insert M into the equation -> then you can solve the equation for the missing constant

then you should have the hole equation of the plane