1. (5 pts) Let u=(U1, Uz) and V=(V1, V2) be vectors in R? under traditional vector addition and scalar multiplication. Is the following operation an inner-product? March through the 4 axioms listed on the last page to verify, or disqualify, the inner-product status. You can stop your analysis as soon as you find fault with an axiom. = 30 V - 502V2 2. (5 pts) Let u = (1, -3) and V = (5, 1). Use the inner product = 3U4V4 + 5u2v2 on R2 to compute d(u, v). 3. (10 pts) Use the Gram-Schmidt process to transform the basis { ( 1, 1, 1), (0, 1, 1), (0, 0, 1) } into an orthonormal basis under the Euclidean inner product in R3 (the dot product). 1. (5 pts) Let u=(U1, Uz) and V=(V1, V2) be vectors in R? under traditional vector addition and scalar multiplication. Is the following operation an inner-product? March through the 4 axioms listed on the last page to verify, or disqualify, the inner-product status. You can stop your analysis as soon as you find fault with an axiom. = 30 V - 502V2 2. (5 pts) Let u = (1, -3) and V = (5, 1). Use the inner product = 3U4V4 + 5u2v2 on R2 to compute d(u, v). 3. (10 pts) Use the Gram-Schmidt process to transform the basis { ( 1, 1, 1), (0, 1, 1), (0, 0, 1) } into an orthonormal basis under the Euclidean inner product in R3 (the dot product)