14. show that the set s = {(1,1, 1, 1). (1, 1, -1, -1), (1, -1, 1, -1), (1, -1, -1, 1)} forms an orthonormal basis of r4. find the coordinates of an arbitrary v

14. Show that the set S = {(1,1, 1, 1). (1, 1, -1, -1), (1, -1, 1, -1), (1, -1, -1, 1)} forms an orthonormal basis of R4. Find the coordinates of an arbitrary vector a = (a, b, c, d) in R* relative to the basis S.