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Studies of planetary systems of stars in star-forming regions and youngclusters open a window on the formative stages of planetary evolution. Weobtained high-cadence high-resolution infrared spectroscopy of the solar-massTaurus association-member V1298 Tau during a transit of its 10R$_{\oplus}$-size"b" planet. We measured the systemic radial velocity and find that thekinematics of V1298 Tau suggest an affiliation with a $\gtrsim$6 Myr-oldsubgroup. A comparison of V1298 Tau and the nearby, co-moving star 2M0405 withstellar evolution models suggests an age of $\sim$10-25 Myr. We measured theprojected spin-orbit angle of "b" as $\lambda=15_{-16}^{+15}$ and $\lambda =2_{-4}^{+12}$ degrees using the apparent RV shift and change in line profile,respectively, induced by the transient occultation of the rotating star by theplanet. These values indicate a prograde orbit like that of the interior "c"planet of V1298 Tau and point to a co-planar multi-planet system that formedwithin a disk. We also measured variation in the strength of the 1083 nmtriplet of neutral orthohelium as a probe of any extended/escaping atmospherearound "b". We detect a steady decrease in absorption over the transit whichappears to arise from the star or its planetary system. While this variationcould be ascribed to "b" or possibly to the immediately preceding transit of"d", we cannot rule out that this is due to rapid variation in the stellardisk-integrated flux in the triplet. The amplitude of variation ($\sim$0.04 nm)is consistent with moderate estimates of atmospheric escape driven by XUVradiation from the central star.

Zodiacal Exoplanets in Time (ZEIT) XIII: Planet Orbits and Atmospheres in the V1298 Tau System, a Keystone in Studies of Early Planetary Evolution