I understand that quaternion multiplication is non-commutative, but what association does it have.
putting into context when we have the statement
when given general numbers, and algebra such as: $A*B*C$ we generally are taught left to right $(A*B)*C$ even though it does not directly matter, but all of the examples that I have found for multiplying quaternions is only the case of multiplying $q_1*q_2$, and no examples of 3, or more.
so because quaternion multiplication is non-commutative, and probably has a implicit associative (might be using this word our of context) property. what is it?
when given $q_1 * q_2 * q_3$ do I treat this as $q_1 * (q_2 * q_3)$, or as $(q_1 * q_2) * q_3$, or does it actually matter as long as the absolute order is maintained?