Algebra linear elementer II

4. Is Known U1 = (0, 1, 1), uz = (1, 0, 1), @nd u3 = (1, 1, 0) Vectors In R3. (a) Show th@tS = {u1, uz, U3} is the basis for R3. (b) Use scal @r multiplication a, b )= a1b1 + 2a2b2 + a3b3 with a = (a1, az, a3) and b = (b1, b2, b3) to check whether S is an orthogonal set Or not. (c) Form the Orthonormal basis for R' b@sed On set S with the sc@lar multiplication given in (b)