  We report an all-optical atomic vector magnetometer using dual Bell-Bloom
optical pumping beams in a Rb vapor cell. This vector magnetometer consists of
two orthogonal optical pumping beams, with amplitude modulations at $^{85}$Rb
and $^{87}$Rb Larmor frequencies respectively. We simultaneously detect atomic
signals excited by these two pumping beams using a single probe beam in the
third direction, and extract the field orientation information using the phase
delays between the modulated atomic signals and the driving beams. By adding a
Herriott cavity inside the vapor cell, we improve the magnetometer sensitivity.
We study the performance of this vector magnetometer in a magnetic field
ranging from 100~mG to 500~mG, and demonstrate a field angle sensitivity better
than 10~${\mu}$rad/Hz$^{1/2}$ above 10~Hz.
