In large ad hoc networks with nodes equipped with multiple antennas, the tradeoff between multiplexing and diversity gains in each point-to-point link impacts the overall network capacity, albeit in a different way than the widely used Zheng-Tse tradeoff. A maximum network capacity balances between diversity and multiplexing, the former allowing increased node density and the latter allowing increased point-to-point throughput. Adding spatial modes necessarily reduces the optimal contention density as a cost for increasing the link throughput. However, this tradeoff is profitable in the large antenna and large path loss regimes. As specific examples, we consider the transmission capacity with N antennas performing spatial multiplexing with equal power allocation, and then the case where the stream corresponding to the worst eigenvalue is eliminated for the N X N and 2 X N cases. We also develop an optimal power allocation for the spatial modes which greatly improves the performance relative to equal power allocation.