We present a VLA image of the Vela X region, a nebula thought to be po
wered by the young pulsar B0833-45, at a resolution of approximately 1
.'3. The morphology of this synchrotron nebula is dominated by a netwo
rk of fine, overlapping linear filaments. The brightest filament lies
just south of PSR B0833-45 and can be traced to the center of Vela X,
40' away. This radio filament appears to be the counterpart of an X-ra
y feature first detected by Markwardt & Ogelman (1995). Rather than a
one-to-one position alignment between them, the radio filament is syst
ematically offset and traces the eastern boundary of the X-ray feature
. We consider several models for the origin of the radio filament and
its relation to the X-ray feature. At present, the data cannot disting
uish between whether the radio emission is due to electrons accelerate
d in situ or whether the radio emission results from the compression o
f the relativistic pulsar wind. We suggest several possible observatio
ns to enable us to distinguish which hypothesis is correct.