Consider the three vectors 3 --)--(C)--0) 3 W = 9 -3 u= -2 3 Let S denote the one dimensional subspace spanned by u, and let S denote its orthogonal complement. (a) Compute the matrix Proju which is the orthogonal projection onto S. Justify your answer using words. (b) Find the vector in S that is closest to v. Justify your answer using words. (c) Find the vector in S that is closest to w. Justify your answer using words.

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