1. P5 is an innerproduct space with an inner product. We applied the Gram Schmidt process tot he basis {1,x,x^2,x^3,x^4} and obtained the following as the result {f1,f2,f3,f4,x^4+2}.

a. What is the orthogonal complement of P3 in P5 with erspect to this inner product?
b. What is the length of 2f1 + f3 -f4?