What does the Bible say about righteousness and the law?

In Galatians 2:21, the Apostle Paul explicitly states, 'I do not frustrate the grace of God, for if righteousness come by the law, then Christ is dead in vain.' This underscores the principle that righteousness cannot be achieved through adherence to the law. The entire point of the law is to highlight human inability to attain righteousness on our own. Paul further clarifies in Galatians 3:11 that 'it is evident that no man is justified by the law in the sight of God.' Thus, the law functions to reveal our sinfulness, ultimately leading us to Christ, who is our righteousness apart from the law.