Torque Algorithms: The Permanent Multipole and Induced Dipole Vector Contributions in a Set of Charge Distributions Abstract: Two algorithms for the permanent multipole contribution to the mutual torques in a set of charge distribution are presented. The first is the conventional Newtonian formulation; the second is in terms of generalized forces. Both cooperative and non-cooperative algorithms for the induced dipole vector contribution are given. The algorithms are based on earlier algorithms for the permanent multipole and induced dipole vector contribution to the energy in the Maxwell Invariant form.