If a batter swings & misses at a third strike and the ball hits him, is the ball dead? I know he is out (MLR 6.05 item f), but if less than 2 outs, and a runner on third, if the ball bounces away from the cather when it hits the batter, can R3 score?
I believe the ball is dead, but can't find it in the rules.

Yes, the ball is dead. Remember ANY TIME the ball touches a batter, fairfoul, hit, swung at or not swung at, the ball is dead. After that you decide if it is a HBP,dead ball strike, out, foul or whatever but the ball is dead.

Interestingly, there was a recent MLB game where this call was prominently missed. Apparently the HPU didn't see it well and the field umps thought it hit off the catcher's mitt, but replays indicated it hit off the batter's back shin. It resulted in a game winning rally for the Dodgers.

On the other hand, I remember UVA wriggling out of a jam in Omaha this year (or maybe it was in the Super Regionals, but it was one of the games on TV) when Tyler Wilson struck out a lefty batter with a slider that then struck him above his left knee and bounced away. Properly recorded as an out, dead ball, all runners sent back, and UVA eventually escaped with no runs in the inning.

6.08 (b)
APPROVED RULING: When the batter is touched by a pitched ball which does not entitle him to first base, the ball is dead and no runner may advance.