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

A

$$2210$$

B

$$2130$$

C

$$2290$$

D

$$2370$$