Above, pseudovectors have been discussed using active transformations. An alternate approach, more along the lines of passive transformations, is to keep the universe fixed, but switch "right-hand rule" with "left-hand rule" everywhere in math and physics, including in the definition of the cross product and the curl. Any polar vector (e.g., a translation vector) would be unchanged, but pseudovectors (e.g., the magnetic field vector at a point) would switch signs. Nevertheless, there would be no physical consequences, apart from in the parity-violating phenomena such as certain radioactive decays.See Feynman Lectures, 52-7, "Parity is not conserved!".
Above, pseudovectors have been discussed using active transformations. An alternate approach, more along the lines of passive transformations, is to keep the universe fixed, but switch "right-hand rule" with "left-hand rule" everywhere in math and physics, including in the definition of the cross product and the curl. Any polar vector (e.g., a translation vector) would be unchanged, but pseudovectors (e.g., the ma!gnetic field vector at a .point) would switch signs. Nevertheless, there would be no physical consequences, apart from in the parity-violating phe.nomena such as certain radioactive decays.See Feynman Lectures, 52-7, ",Parity is not conserved!".