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Question 2. a) A unit vector U = in R2 is a vector of length | |3)| = va2 + 62 = 1. The goal of this exercise is to create a list of all subspace V of the vector space (R2, +, .) without repetitions. Whenever possible the list should describe a subspace V of R2 as a span V = Span(B) where B is a basis of V consisting of unit vectors. Remark: You do not need to explain why your list contains all subspaces, or why the sets appearing in your descriptions are bases. b) Let W C R" be a subspace of the vector space (R", +, .). Explain why its orthogonal complement W = (ER" : x W = 0 for we W}, i.e. the set of all vectors in R" that are orthogonal to W, is a subspace of R". c) Find the orthogonal complement V- of each subspace V of (R2, +, .) and create a list of all pairs {V, V } of subspaces of R?. Remark: You don't need to explain how you created this list, or why your list has the claimed properties