Form Factor for a Two-Fermion Composite System: Case of Equal Masses and Vector Current

New expressions for components of the form factor for a composite system of two equal-mass relativistic fermions were obtained for the vector-current case. The respective consideration was performed within the relativistic quasipotential approach based on the covariant Hamiltonian formulation of quantum field theory via a transition to the three-dimensional relativistic configuration representation for the case of interaction between two equal-mass particles of spin 1/2.