If f(x) and g(x) are arbitrary polynomials of degree at most 1, then the mapping (f,g) = f(-2)g(-2) + f(1)g(1) defines an inner product in P2. Use this inner product to find (f,g), ||f||, ||g||, and the angle α between f(x) and g(x) for f(x) = 5x - 1 and g(x) = -3x. (f,g) || f || = || g || α (radians).
If f and g are arbitrary polynomials of degree at most 1, then the mapping fg = f(-2)g(-2) + f(1)g(1) defines an inner product in P. Use this inner product to find (f,g), ||f||, ||g||, and the angle α between f and g for f = 5x - 1 and g = -3x. (f,g) || f || = || g || α (radians).