Question: Q2 [4 marks] Let S C R be subset in the vector space R with the dot product. a) Give definition of the orthogonal complement

Q2 [4 marks] Let S C R" be subset in the vector space R" with the dot product. a) Give definition of the orthogonal complement S-. b) Let x E R" be such that x E S and x e S-. Prove that x = 0. Note that you must write the proof for the context of the vector space R" with the dot product

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