The N-18 ground state magnetic moment \mu\ = 0.135(15)mu(N) has been measured using a modified beta nuclear magnetic resonance technique. The value is compared to shell-model calculations. Spin-aligned N-18 projectile fragments were produced in the fragmentation of Ne-22 at 60.3 MeV/nucleon. Polarization of the nuclear spins was resonantly induced by a combined magnetic dipole, electric quadrupole, and radio frequency interaction. This is the first application of a new method that allows production of polarized nuclei from spin-aligned projectile fragments, allowing one to measure beta asymmetries. The method opens a new range of applications to study static dipole and quadrupole moments of exotic nuclei near the drip lines. [S0031-9007(98)08259-3].