Problem 1. [10pts] Consider the weights vector r = , 12 = , 13 = to define (, )1 11 the inner product with weight in R (as seen in class). Let --(0)-0 3 2 y = 4 1. (2pts) Show that x and y are orthogonal with respect to this inner product. 2.3.6 2. (8pts) Compute the norms ||x||, ||y|| with respect to this inner product. ||x|| = ||y|| =