>>11128049
only in three dimensions can one talk about vectors (force, velocity, acceleration, electric field, etc) and pseudovectors (angular momentum torque, magnetic field, etc) as same dimensional objects. That's because grades of clifford algebras follow pascals triangle. For algebra of physical space (clifford algebra cl_3) we have pascals third row (counting from 0), which is 1,3,3,1 meaning there's 1 dimensional scalar, 3 dimensional vector, 3 dimensional pseudovector (bivector) and 1 dimensional pseudoscalar (trivector).