Final answer:
The governor of North Carolina vetoing a bill demonstrates the principle of checks and balances, where the executive branch has the power to reject legislation, which can then be overridden by the legislative branch.
Step-by-step explanation:
When the governor of North Carolina vetoes a bill passed by the general government, the principle being exemplified is checks and balances. This principle is a foundational component of American government, ensuring that no single branch becomes too powerful. The system of checks and balances allows for a measure of influence between the branches of government: the executive (governor), legislative, and judicial. Each branch can take certain actions that can moderate or prevent the actions of the other branches. The governor's veto power is a clear example of this, allowing the executive branch to reject legislation passed by the legislature. However, this veto can be overridden by the legislature with a two-thirds vote, further illustrating the system of checks and balances in place.