Increasing the efficiency of a thermal system is important in a wide variety of technological contexts, such as vehicle cooling systems, power production, microelectronics, heat exchangers, and air conditioning. The current study examines a boundary layer two‐dimensional inclined magnetohydrodynamic flow of a ternary hybrid nanofluid across a stretching sheet that includes nanoparticles. These nanoparticles are combined with water as the base fluid to form a ternary hybrid nanofluid. The present work aims to analyze the impact of several slip conditions utilizing Arrhenius' activation energy along with the binary chemical reaction on the flow profiles. To characterize the model, a system of partial differential equations (PDEs) is utilized. With the assistance of similarity transformations, the given PDEs of the form are converted into ordinary differential equations. The leading equations are subjected to boundary layer theory, and then the system is numerically tackled with the help of the built‐in numerical approach bvp4c. Results obtained from this numerical solution are presented in graphs and tables which are discussed briefly. The results indicate that there is a downward trend in the velocity profile if the enhancement occurs in both the velocity slip and the magnetic component. A lower temperature is achieved through the use of the temperature slip parameters. In addition, it turned out that a rise in the Eckert number caused an upswing in the surface temperature of a sheet. The activation energy escalates the concentration profile, while the Schmidt number and chemical reaction rate both are falls. The Sherwood number improved when the values of Brownian motion and thermophoresis factors enlarged while the local Nusselt number became lower.