題組內容

12. (10%) Let f1 =x+a and f2 = x-a , 630c5ef68c2f5.jpg, be two vectors in the vector space C[0, 1] with inner product <f,8>:=630c5f2842fb5.jpg.

(a) (4%) Denote the angle between f1 and f2 by θ. Find all possible values of a2such that θ = π/4.