Please give me a detailed solution and answer so that I can compare it with my solution.

1. Suppose u = (1,0, 1), v = (0, 1, 1), and w = (1, 2, 3). (3) Find ||2u 311* + w". (b) Find the angle between 11 and v. (c) Find ||u||||v|| u - v. (d) Find the orthogonal projection of 11 onto v. Show all your work. 2. Suppose x and y are nonzero vectors in an inner product space. Show that x and y are orthogonal ifand only if ||x+y|| = \"x y\" 3. Use the Gram-Schmidt process to nd an orthonormal basis for the subspace of R4 spanned by the vectors u1 = (1,0,0,0), u2 = (1,1,0,0), U3 =(0,1,1,1). Show all your work