  The Doppler effect of light was implemented by interference with a reference
wave to infer linear velocities in early manifestations, and more recently
lateral and angular velocities with scalar phase structured light. A
consequence of the scalar wave approach is that it is impossible to deduce the
motion direction and position of moving targets directly. Here we overcome this
limitation with vectorially structured light, exhibiting spatially variant
polarization, allowing both the position and velocity of a particle to be
robustly determined by a new vectorial Doppler effect. We use this to
successfully implement real time monitoring of instantaneous angular position
and velocity of a complicated moving particle, and interpret its physical
mechanism as evidence of time reversal symmetry breaking in classically
entangled light fields. Our demonstration can easily be extended with arbitrary
vector structured fields for complete motion tracking of nontrivial
trajectories, offering new vectorial Doppler metrology for universal motion
vectors.
