  We constrain the angular momentum architecture of HD 106906, a 13 $\pm$ 2 Myr
old system in the ScoCen complex composed of a compact central binary, a widely
separated planetary-mass tertiary HD 106906 b, and a debris disk nested between
the binary and tertiary orbital planes. We measure the orientations of three
vectors: the companion spin axis, companion orbit normal, and disk normal.
Using near-IR high-resolution spectra from Gemini/IGRINS, we obtain a projected
rotational velocity of $v\sin{i_p}$ = 9.5 $\pm$ 0.2 km/s for HD 106906 b. This
measurement together with a published photometric rotation period implies the
companion is viewed nearly pole-on, with a line-of-sight spin axis inclination
of $i_p$ = 14 $\pm$ 4 degrees or 166 $\pm$ 4 degrees. By contrast, the debris
disk is known to be viewed nearly edge-on. The likely misalignment of all three
vectors suggests HD 106906 b formed by gravitational instability in a turbulent
environment, either in a disk or cloud setting.
