Let R2 have the inner product (u,v) = 2u₁v₁ +5u₂V2, and let x = (3,2) and y = (5, -1). a. Find x, y, and (x,y) |². b. De

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Let R2 Have The Inner Product U V 2u V 5u V2 And Let X 3 2 And Y 5 1 A Find X Y And X Y B De 1 (38.94 KiB) Viewed 30 times

Let R2 have the inner product (u,v) = 2u₁v₁ +5u₂V2, and let x = (3,2) and y = (5, -1). a. Find x, y, and (x,y) |². b. Describe all vectors (z₁,z₂) that are orthogonal to y. a. Find ||x, y, and (x,y) 1². x=(Simplify your answer. Type an exact answer, using radicals as needed.) yll= (Simplify your answer. Type an exact answer, using radicals as needed.) |(x,y)² = (Simplify your answer.) b. Describe all vectors (z₁,z₂) that are orthogonal to y. Choose the correct answer below. OA. All multiples of (1,2) are orthogonal to y. OB. All multiples of (1,-2) are orthogonal to y. OC. All multiples of (-1,2) are orthogonal to y. D. The zero vector is the only vector orthogonal to y.