Ok, the horde in question isn't strictly norse, but I like rhymes ok?
Anyway, first a quick rules recap:
-When attacking a horde, Space Marines inflict a number of extra hits for every 2 DoS.
-When using a psychic power against a horde it may hit a number of times up to the psy rating.
-When attacking with a force sword, a psyker may channel his energy into it to deal extra damage, treated as a psychic power.
So, with all that in mind, my Night Lords Sorceror, Natharus, attacks a norse horde with his force sword (tee hee), and scores enough degrees of success to deal a few hits. He then channels his sorcerous abilities into the sword (psy rating 3), winning the opposed will test.
Does he inflict the three extra hits from his psy rating? Discuss.