Key developments in the field of nanotechnology have drawn the attention of many scholars toward the interaction of nanoparticles due to their capturing applications in solar energy systems and thermal engineering. Larger consumption of energy posed a challenge for thermal science, so thermal engineering is trying to solve this issue by increasing the thermal conductivity of the fluid. The thermal conductivity of conventional fluid is increased by incorporating the nanoparticles in the base fluid. Keeping this in mind, the present research project addresses the utilization of nanoparticles in a steady three-dimensional rotating flow of magnetohydrodynamic water-based hybrid fluid over an extending sheet. Nanoparticles of aluminum oxide (Al2O3) and silver (Ag) are being used with water (H2O) as base fluid. The velocity of nanoparticles is being captured under the influence of an inclined magnetic field and the transport of heat is scrutinized through thermal radiation. The physical model generates partial differential equations and then transported into an equivalent set of a nonlinear ordinary differential equations. The purpose of numerical computation is made by the Lobatto IIIA method, which is a type of Matlab scheme bvp4c and based on the finite difference method. Geometry of velocity profile is explained with different parameters in presence and absence of magnetic field and energy of hybrid nanofluid is explained under the influence of the inclined and perpendicular magnetic field. Gradual increment in ϑ both f and g profiles because strengthen the magnetic field results lower velocity. An increment in nanoparticle concentration of Al2O3 and Ag gives a larger magnitude of velocity. The rotation parameter shows the rotation of nanoparticles; due to these rotations both linear and angular components of velocity increase in the presence and absence of a magnetic effect.