Three dimensions. Three point particles are fixed in place in an xyz coordinate system. Particle A, at the origin, has mass mA. Particle B, at xyz coordinates (2.00d, 3.00d, 4.00d), has mass 4.00mA, and particle C, at coordinates (–2.00d, 4.00d, –1.00d), has mass 4.00mA. A fourth particle D, with mass 2.00mA, is to be placed near the other particles. If distance d = 7.80 m, 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?

Three dimensions. Three point particles are fixed in place in an xyz coordinate system. Particle A, at the origin, has mass mA. Particle B, at xyz coordinates (2.00d, 3.00d, 4.00d), has mass 4.00mA, and particle C, at coordinates (–2.00d, 4.00d, –1.00d), has mass 4.00mA. A fourth particle D, with mass 2.00mA, is to be placed near the other particles. If distance d = 7.80 m, 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?