Final answer:
The relationships between and among the various states in the U.S. Constitution are primarily addressed in Article IV, specifically in Section 1 which includes the 'Full Faith and Credit' clause. The 'Necessary and Proper' clause in Article I, Section 8, and the Tenth Amendment also play a role in defining these relationships.
Step-by-step explanation:
Article IV of the Constitution includes four sections that primarily deal with issues between states and between the states and the federal government. Section 1 of Article IV contains the 'Full Faith and Credit' clause, which requires each state to recognize the laws, records, and court rulings of other states. This clause has been particularly relevant in recent debates over issues such as same-sex marriage.
Additionally, the 'Necessary and Proper' clause in Article I, Section 8 provides Congress with the power to make all laws deemed necessary and proper for carrying out its enumerated powers. This clause has been a source of conflict between the rights of the individual states and the rights of the national government.
Lastly, the Tenth Amendment reserves powers not delegated to the federal government to the states or to the people. This amendment reinforces the principle of federalism and serves as a reminder of the division of powers between the national and state governments.