5 . Let I" = span / 1 , It'sinfant ! ) . We can turn {" into an inner product space by defining ( flaj = / {(tight jat . ( a ) Let MI = span ( 1 , & #^]. Since dimjar ; = 3 we know that diming - ; must equal 1 . Find a unit vector fit ) such that IT_ = spanf fit ! ]. ( b) Find the vector in 1 closest to sin / {n't ) . For this problem you are encouraged to use Wolfram Alpha to do all the integral computations . AS long ``` your setup is correct , you don't have to show any of these computations