We calculate the relaxation times for an oriented single crystal of hexagonal-close-packed solid 3He, which, according to the theory of Roger and co-workers, is dominated by triple exchange. The anisotropy of the relaxation times is a function of the ratio of exchange rates in the basal plane to those out of the plane and may be used to determine this ratio. Results are presented for T1 and T2 as a function of frequency as well as of crystal orientation.