Solved: Three dimensions. Three point particles are fixed

Chapter 13, Problem 15

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Three dimensions. Three point particles are fixed in place in an xyz coordinate system. Particle A, at the origin, has mass mAo Particle B, at xyz coordinates (2.00d, l.OOd, 2.00d), has mass 2.00I11A, and particle C, at coordinates (-1.00d, 2.00d, - 3.00d), has mass 3.00I11A' A fourth particle D, with mass 4.00I11A, 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?

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