Triangle $OAB$ has $O=(0,0)$, $B=(6,0)$, and $A$ in the first quadrant. In addition, $\angle ABO=90^{\circ }$ and $\angle AOB=60^{\circ }$. Suppose that $OA$ is rotated $90^{\circ }$ clockwise about $O$. What are the coordinates of the image of $A$?