For what values of k, the given vectors are orthogonal with respect to the Euclidean inner product. (i) u =(-4,k,k, 1), v = (1, 2,k, 5), (ii) u = (5,-2,k, k), v = (1, 2,k, 5). (e). Verify that the vectors v₁ = (2,−2, 1), v₂ = (2, 1,−2), v₂ = (1, 2, 2) form an orthogonal basis for R³ with respect to the Euclidean inner product, and then express the vector u = (-1, 0, 2) as a linear combination of v₁, V₂, and v3. (f). Let R¹ have the Euclidean inner product. Use the Gram-Schmidt process to