  We study the real-time dynamics of vortex lines in a large elongated
Bose-Einstein condensate (BEC) of sodium atoms using a stroboscopic technique.
Vortices are spontaneously produced via the Kibble-Zurek mechanism in a quench
across the BEC transition and then they slowly precess keeping their
orientation perpendicular to the long axis of the trap as expected for
solitonic vortices in a highly anisotropic condensate. Good agreement with
theoretical predictions is found for the precession period as a function of the
orbit amplitude and the number of condensed atoms. In configurations with two
or more vortex lines, we see signatures of vortex-vortex interaction in the
shape and visibility of the orbits. In addition, when more than two vortices
are present, their decay is faster than the thermal decay observed for one or
two vortices. The possible role of vortex reconnection processes is discussed.
