Is the cross product of two vectors a vector?
No, it is not, and the fact that people treat it as one is the problem. The *geometric object* that is the closest thing to the c.p. is a skew tensor (practically the same as wedge product), which (only) in 3D has Cartesian components that resemble those of a vector, *except* that this pseudo-vector *flips* under reflection (unlike a genuine vector). Unfortunately, physicists have been trained to express Maxwell’s laws as a relationship between a genuine vector (field) and a c.p., which means that that expression of those laws *changes* under reflection, something that physicists are *not* taught and which appears to have been overlooked in the analysis of the (nonconservation of) parity experiment.
