Chapter 13, Problem 15P

GO Three dimensions. Three point particles are fixed in place in an xyz coordinate system. Particle A, at the origin, has mass m_A Particle B, at xyz coordinates (2.00d, 1.00d, 2.00d). has mass 2.00m_A, and particle C, at coordinates (−1.00d, 2.00d, −3.00d), has mass 3.00m_A. A fourth particle D. with mass 4.00m_A, is to be placed near the other particles. In terms of distance d, at w hat (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?