Let \( S \) be the set of all \( (\lambda,\mu) \) for which the vectors \( \lambda \hat{i}-\hat{j}+\hat{k} \), \( \hat{i}+2\hat{j}+\mu \hat{k} \) and \( 3\hat{i}-4\hat{j}+5\hat{k} \), where \( \lambda-\mu=5 \), are coplanar, then \( \sum\limits_{(\lambda,\mu\in S)} 80(\lambda^{2}+\mu^{2}) \) is equal to:
