Fourier transform review (a) consider two vectors in the plane: 4%p, v2/2 -v2/2 v2 for an arbitrary vector x, specify scalars a and a so that (hint: inner product.) b) make a sketch corresponding to part (a). (c) view the three blue one brown fouier video (d) give an interpretation of the fourier transform based on part (a) above. note that for square-integrable complex-valued functions f(t) and g(t), the inner product is given by (f, s) = | f. (t)g(t)dt. (e) compare and contrast the interpreation in the video to the interpretation in part (d)