The paper considers the results of the study of resistances arising during the operation of a bulldozer in the soil environment and processes in the drawing prism. What affects the stability and productivity of the bulldozer during excavation works. The geological map of the "Ukrainian crystalline shield" was studied, where the most common soils on the territory of Ukraine were found. Using the proposed hypothesis of the movement of spatially oriented knives on a bulldozer blade, it was shown that when excavating soil at different speed ratios, there is a deviation of the cutting force application vector by an angle (α), which in turn affects the geometric interaction of the spatially oriented knife with the working environment. Changing the geometric interaction of the spatially oriented knife with the soil affects the cutting force, which led to the creation of a parametric model of the interaction of spatially oriented knives with the working environment. The model was developed for different knife configurations and different ratios of the bulldozer speed to the spatially oriented knife movement speed. The total, normal, and orthogonal cutting forces for the working, subcritical, and critical depths of soil cutting were calculated, according to changes in the parametric model of the spatially oriented knife. A comparative calculation of the cutting force by a bulldozer without and with spatially oriented knives was carried out.