1.
Centre of mass (C.M.) of three particles of masses 1kg1\,\text{kg}, 2kg2\,\text{kg} and 3kg3\,\text{kg} lies at the point (1,2,3)(1, 2, 3) and C.M. of another system of particles of 3kg3\,\text{kg} and 2kg2\,\text{kg} lies at the point (1,3,2)(-1, 3, -2). Where should we put a particle of mass 5kg5\,\text{kg} so that the C.M. of entire system lies at the C.M. of the first system?