  The nine-component positive vector optical tomographic probability portrait
of quantum state of spin-1 particles containing full spatial and spin
information about the state without redundancy is constructed. Also the
suggested approach is expanded to symplectic tomography representation and to
representations with quasidistributions. The evolution equations for
constructed vector optical and symplectic tomograms and vector
quasidistributions for arbitrary Hamiltonian are found. The evolution equations
are also obtained in special case of the quantum system of charged spin-1
particle in arbitrary electro-magnetic field, which are analogs of
non-relativistic Proca equation in appropriate representations. The
generalization of proposed approach to the cases of arbitrary spin is
discussed. The possibility of formulation of quantum mechanics of the systems
with spins in terms of joint probability distributions without the use of wave
functions or density matrixes is explicitly demonstrated.
