We consider the two-dimensional chiral metal, which exists at the surface o
f a layered, three-dimensional sample exhibiting the integer quantum Hall e
ffect. We calculate its magnetoresistance in response to a component of mag
netic field perpendicular to the sample surface, in the low temperature, bu
t macroscopic, regime where inelastic scattering may be neglected. The magn
etoresistance is positive, following a Drude form with a field scale B-0 =
Phi(0)/al(el) given by the transverse field strength at which one quantum o
f flux Phi(0) passes through a rectangle with sides set by the layer-spacin
g a and the elastic mean free path l(el). Experimental measurement of this
magnetoresistance may, therefore, provide a direct determination of the ela
stic mean free path in the chiral metal. [S0163-1829(99)05807-5].