questions below:

Let R2 have the inner product (u,v) = 2u1v1 +4u2v2, and let x = (2,3) and y= (4, - 1). . 2 a. nd leI, Iy ,and |(x,y)| . b. Describe all vectors (21,22) that are orthogonal to y. E) a. Find le , and |(x,y) |2. l. \"x" = D (Simplify your answer. Type an exact answer, using radicals as needed.) Iv \"y" = D (Simplify your answer. Type an exact answer, using radicals as needed.) | (x,y) |2 = D (Simplify your answer.) b. Describe all vectors (21,22) that are orthogonal to y. Choose the correct answer below. 0 A. All multiples of (1,2) are orthogonal to y. 0 B. All multiples of (1, 2) are orthogonal to y. 0 c_ All multiples of ( - 1,2) are orthogonal to y. 0 D. The zero vector is the only vector orthogonal to y. 5 2 - 4 Let y= - 9 , u1 = 3 , u2 = 1 . Find the distance from y to the plane in R3 spanned by u1 and u2. 5 1 - 5 The distance is E. (Type an exact answer, using radicals as needed.) . 10 - 4 8 8 10 6 O 2 8 8 20 2 U An orthogonal basis for A, -6 - 12 0 0 , is - 6 6 . Find the QR factorization of A with the given orthogonal basis. 16 16 28 28 16 0 6 2 8 8 -4 2 6 . . . The QR factorization of A is A = QR, where Q= and R =