[en] Described are the results of the theoretical and experimental study of the induced radiation at the cyclotron frequency in the system of the colliding mutually-penetrating electron beams with the velocities directed at an angle to an external longitudinal magnetic field. The colliding beams have been produced by reflection of the electron beam injected into the interaction chamber from the electrode (collector) having the high negative potential of the gun cathode. Studies were made to elucidate the structure of distribution of the fields inside the metal chamber, the dependence of the wave field strength amplitude and frequency on the external magnetic field, as well as the dependence of radiation intensity on the beam current, energy and lateral component of the electron velocity. Determined are the generation and existence conditions of two types of the waves: ordinary and nonordinary ones. The radiation intensity rises with the increase of the lateral component of the electron velocity, their energy and beam current. A sharp increase of the cyclotron radiation intensity under the colliding beam conditions as compared with the single-beam conditions is explained by increase of the time-of-flight of radiating oscillators