Question: 2 [4 marks] Let S CRn be subset in the vector space Rn with the dot product. a) Give definition of the orthogonal complement St.

2 [4 marks] Let S CRn be subset in the vector space Rn with the dot product. a) Give definition of the orthogonal complement St. b) Let x E Rn be such that x ES 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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