Final answer:
The 9-letter word meaning to waver between courses of action is 'vacillate'. It describes a state of indecision where a person hesitates and changes their mind repeatedly.
Step-by-step explanation:
The 9-letter word meaning to waver between courses of action is vacillate. When someone vacillates, they are unable to decide between different opinions or actions, often changing back and forth in a hesitant or indecisive manner. For example, a person might vacillate between choosing to attend one college or another, weighing the pros and cons of each before making a decision.