  The currently accepted model for gamma-ray burst phenomena involves the
violent formation of a rapidly rotating solar-mass black hole. Gravitational
waves should be associated with the black-hole formation, and their detection
would permit this model to be tested. Even upper limits on the
gravitational-wave strength associated with gamma-ray bursts could constrain
the gamma-ray burst model. This requires joint observations of gamma-ray burst
events with gravitational and gamma-ray detectors. Here we examine how the
quality of an upper limit on the gravitational-wave strength associated with
gamma-ray bursts depends on the relative orientation of the gamma-ray-burst and
gravitational-wave detectors, and apply our results to the particular case of
the Swift Burst-Alert Telescope (BAT) and the LIGO gravitational-wave
detectors. A result of this investigation is a science-based ``figure of
merit'' that can be used, together with other mission constraints, to optimize
the pointing of the Swift telescope for the detection of gravitational waves
associated with gamma-ray bursts.
