Let u be some fixed vector in R" and let S be the set of all vectors in R" that are orthogonal to u. Is Sa subspace of R"? Be sure to justify your answer by showing explicitly how it either passes all...

Extracted text: Let u be some fixed vector in R" and let S be the set of all vectors in R" that are orthogonal to u. Is Sa subspace of R"? Be sure to justify your answer by showing explicitly how it either passes all the part of the subspace test or how it fails one of them.