(Solved): Find an equation of the set of all points equidistant from the points \( A(-3,4,2) \) and \( B(6,1, ...

Find an equation of the set of all points equidistant from the points \( A(-3,4,2) \) and \( B(6,1,-2) \). Describe the set. a line perpendicular to \( A B \) a cube with diagonal \( A B \) a plane perpendicular to \( A B \) a sphere with diameter \( A B \)