Problem 2 only

2. When are the scalar products (a, b, c) . (a, b, c) and (a, b, c) . (b, c, a) equal? When one is larger, which one is it? Explain. (No messy calculations necessary!) 3. Consider (non-orthogonal) coordinates m = x, n = (2x + y)/v5, where x, y are Cartesian coordinates. a) Find the Cartesian coordinates for the points (m, n) = (1, 1) = m + n and (m, n) = (V5, 1/2). b) If we view matrices as coordinate hanges. what is the matrix that changes a vector