Do you not have access on the nexus itself or is this info not visible in vCenter? You should probably talk to whoever is in charge of your nexus dvSwitch.
I'm not sure how it works on the nexus 1000v switch, but the net-dvs output provides information on the load balancing policy for every port (note that it includes uplink ports which may always show up as "source virtual port id"):
# net-dvs | grep -E '(load balancing|port )'
port 320:
load balancing = source virtual port id
port 321:
load balancing = source virtual port id
port 177:
load balancing = source virtual port id
You should also be able to grab that info from esxcli, but I'm not sure if there is an esxcli hook for the nexus. Maybe you can branch off with esxcli network vswitch dvs cisco or something. On the vmware dVS you could do:
# esxcli network vswitch dvs vmware lacp get status
LACP is disabled on DVSwitch.
# esxcli network vswitch dvs vmware lacp get config
DVS Name LAG ID NICs Enabled Mode
------------ ------ ------------- ------- ----
Some_DVSwitch 0 vmnic1,vmnic3 false