10. A system has three particles, each of unit mass with position and velocity at some time as shown: R1 = i + j + k R2 = -i + 2j + k R3 = j - 3k V1 = 3i + j V2 = 2i + 2j V3 = i + 2k a. Find the position of the system center of mass b. Find the velocity of the system center of mass c. Find the momentum of the system center of mass d. Find the kinetic energy of the system center of mass e. Find the kinetic energy of each particle separately f. Find the angular momentum of the center of mass