ah yes the dominant directing product means that the substitution occurs at a specific carbon as directed by the substtuents already on the ring.
For example the NH2 group is 2,4,6 directing.
Basically, the reason for this is down to the resonances that can occur on th ering leading to regions of greater electron density ot a specific carbon or extra stability of an intermediate.
It's rather complex to explain here but suffice to say that some substituents activate the ring by providing extra electrons conjugating with the ring electrons (the case of NH2 which has a lone pair) These activate the ring and direct substitution to the 2,4,and 6 positions (it's called a positive mesomeric effect or +M)
There are also electron withdrawing groups such as the nitro group NO2 (-M) and then there are groups that just withdraw electrons by pulling due to electronegativity (-I, or negative inductive) eg COOH, and others that seem to push electrons into the ring (+I, or positive inductive effect) eg alkyl chains.
Each of these has a different substitution directing effect.
Roughly speaking
-M and -I cause 3,5, substitution
+M and +I cause 2,4,6 substitution
the halogens are a little peculiar as they activate the ring but cause 3,5 substitution - it seems that both +M and -I effects occur together.