In exercise (1.), you may assume that {u1,...,u4} is an orthonormal basis for R^(4). Write vector x as the sum of two vectors, one in Span{u1,u2,u3} and the other in Span{u4}. This is exercise (1.) in chapter 6.3, "Orthogonal Projections," of chapter 6, "Orthogonality and Least Squares," contained within "Linear Algebra and its Applications," David C. Lay, 2003, Pearson Education. This textbook is currently used at UCSD for Math 18, is a 400 level math class.

In exercise (1.), you may assume that {u1,...,u4} is an orthonormal basis for R^(4). Write vector x as the sum of two vectors, one in Span{u1,u2,u3} and the other in Span{u4}. This is exercise (1.) in chapter 6.3, "Orthogonal Projections," of chapter 6, "Orthogonality and Least Squares," contained within "Linear Algebra and its Applications," David C. Lay, 2003, Pearson Education.  This textbook is currently used at UCSD for Math 18, is a 400 level math class.

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one, in, Span{u1, u2, u3}, and, the, other, in, Span{u4}, Chapter, 6.3, exercise, 1, David, C., Lay, linear, algebra, and, its, applications, 2003, Pearson, Education 

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