Is this right to add two orthogonal vectors to to get one vector, using this vector in calculations and after getting results, decomposing result vector to get orthogonal components? I am a programmer, working on simulation of mobile vehicle on 3D plane. For this purpose i am doing research that whether 3D euclidean space allows 2D vector sum in a plane, so that i can compute vectorial sum of X and Y components, (as car wheels move as this vectorial sum moves, they doesn't move separately in X and Y plane) perform desired computations and again decompose vector to get X and Y components. Has 3D euclidean space such flexibility to to apply this approach. IF yes, How? If no.. please guide me why?
2026-04-07 03:15:18.1775531718
Does 3D euclidean space allows vector sum in 2 dimensions?
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