There are three vectors in R4 that are linearly independent butnot 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 orthogonalprojection bˆ of b onto the subspace W in two ways: (1) using thebasis {u, v, w} for W, and (2) using an orthogonal basis {u' , v' ,w'} obtained from {u, v, w} via the Gram Schmidt process. Finally,explain in a few words why the two answers differ, and explain whyonly ONE answer is correct.
