1. The problem statement, all variables and given/known data The four functions v0 = 1; v1 = t; v2 = t^2; v3 = t^3 form a basis for the vector space of polynomials of degree 3. Apply the Gram-Schmidt procedure to find an orthonormal basis with respect to the inner product: < f ; g >= (1/2)[itex]\int[/itex] 1-1 f(t)g(t) dt 2. Relevant equations ui = vi - [itex]\sum[/itex]i-1j <vi, uj>/||vj||2> *vj 3. The attempt at a solution I am not sure that the impact that given inner product integral gives to the question. I don`t even know how to approach this question as well, because I have typically been given vectors of the form (x1, y1, z1) to use gram-schmidt orthonormalization with, not of the given form.