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We perform a proof-of-principle experiment that uses a single negatively charged nitrogen-vacancy (NV) color center with a nearest neighbor 13C nuclear spin in diamond to detect the strength and direction (including both polar and azimuth angles) of a static vector magnetic field by optical detection magnetic resonance (ODMR) technique.With the known hyperfine coupling tensor between an NV center and a nearest neighbor 13C nuclear spin,we show that the information of static vector magnetic field could be extracted by observing the pulsed continuous wave (CW) spectrum.