questions below:

4 2 0 Let u1 = 4 , u2 = 1 , and u3 = 1 . Note that u1 and u2 are orthogonal. It can be shown that u3 is not in the subspace W spanned by u1 and u2. Use this to construct a nonzero vector v in - 4 1 0 R3 that is orthogonal to u1 and uz. The nonzero vector v = [: is orthogonal to u1 and uz. The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an upper triangular matrix R such that A = QR. - 14 2 N VIN VIO VIN 5 7 V14 A = Q= - 2 - 2 0 A 3 1 14 Select the correct choice below and fill in the answer boxes to complete your choice. (Simplify your answers. Type exact answers, using radicals as needed.) O A. R= OB. R=Find the best approximation to 2 by vectors of the form o1v1 + c2v2. 2 2 5 _ 4 _ 0 _ -2 z 0 ,v1 _1 ,v2 2 1 -4 2 The best approximation to z is D. (Simplify your answer.)