The Reserve Bank of India (RBI) performs the following functions as the ‘Banker’s Bank and Supervisor’:
Banker’s Bank: The RBI acts as a banker to all scheduled commercial banks. It provides short-term funds, acts as a lender of last resort, and facilitates inter-bank clearing.
Supervisor: The RBI supervises and regulates banks to ensure financial stability. It monitors compliance with banking regulations, manages non-performing assets (NPAs), and ensures that banks maintain required reserves. These functions help in maintaining stability and liquidity in the financial system.
If vector \( \mathbf{a} = 3 \hat{i} + 2 \hat{j} - \hat{k} \) \text{ and } \( \mathbf{b} = \hat{i} - \hat{j} + \hat{k} \), then which of the following is correct?