This question helps you understand dot product on R". A function f(x) is real linear if f(x + ry) = f(x) +rf(y) where x,y E Domain of f(r) and r E R. In Class, we covered the dot product on space R". Let's define o by dot product in following way. P7: R" R where i e R". (ie, i is a fixed vector in R".) (a) Can we view P7(:) as real linear function ? Justify your answer. (b) Check if duituj (T) = P (T) + Pu; (T) is true for all E R". The u, uj are some fixed vectors in R".