If we want to consider a perpendicular bisector of a line segment in R3, we will find that the bisector must be a plane. (a) Give an (implicit) equation for the plane that serves as the perpendicular bisector of the segment joining the points P1(6, 3,−2) and P2(−4, 1, 0). (b) Given general points P1(a1, a2, a3) and P2(b1, b2, b3), provide an equation for the plane that serves as the perpendicular bisector of the segment joining them.
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