FLALAX wrote:On a face off.
If the officials don't know who touched it last and it goes OOB in the midfield area, it's a re-face. If it crosses the restraining line first in this situation, we go AP. In fact, any time the ball goes OOB and we don't know who touched it last, we go AP. So, if A1 deflects the ball OOB but the officials don't know who touched it and if Team A has AP, than Team A gets possession.
There is also an A.R. about the ball hitting a player part in bounds and part OOB:
NCAA Rule 4 wrote:A.R. 35. Player A1 falls so that half of his body is inbounds and half is out of bounds.
The ball deflects off B1, who is inbounds, and then the ball touches a part of A1 or his
crosse which is (1) inbounds; or (2) out of bounds. RULING: In both cases, the ball is
considered to have gone out of bounds off of A1. Award the ball to Team B.
This would also satisfy the conditions in the question.
Then there's the old "Shot by Team A, A1 (or B1) tips the ball and is closest when the ball goes OOB" scenario: as long as no impetus is added to the shot, it's still a shot and possession is awarded to whomever is closest.