There are three vectors in R4 that are linearly independent but
not orthogonal: u = (3, -1, 2, 4), v = (-2, 7, 3, 1), and w = (-3,
2, 4, 11). Let W = span {u, v, w}. In addition, vector b = (2, 1,
5, 4) is not in the span of the vectors. Compute the orthogonal
projection bˆ of b onto the subspace W in two ways: (1) using the
basis {u, v, w} for W, and...