1. The problem statement, all variables and given/known data We are given a linear map f, f:R2xR2->R. f has the following properties: 1)It is linear for the changes of the first variable 2)It is linear for the changes of the second variable 3)f((3,8),(3,8))=13 We are asked to say if f is anyhow related to the normal inner product of R2 2. Relevant equations 3. The attempt at a solution I know that the inner product of R2 is a bilinear map like f. If f actually WAS the linear product then it should be f((3,8),(3,8))=73. Perhaps I could say that f is the inner product, multiplied by some value? I dont really understand the question, but I have posted it exactly as stated.