Three dimensions three point particles are fixed in place in a xyz coordinate system. Particle A, at the origin, has mass mA. Particle B, at xyz coordinates (2.00d, 1.00d, 2.00d), has mass 2.00ma, and particle C, at coordinates (-1.00d, 2.00d, -3.00d), has mass 3.00mn. A fourth particle D, with mass 4.00ma, is to be placed near the other particles in terms of distance d at what?
(a) x
(b) y and
(c) z coordinate should D be placed so that the net gravitational force on A from B, C, and D is zero?