If `vec P+vec Q=vec R` and `vec P-vec Q=vec S`, then `R^(2)+S^(2)` is equal to
(A) `P^(2)+Q^(2)`
(B) `2(P^(2)-Q^(2))`
(C) `2(P^(2)+Q^(2))`
(D) 4PQ

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