Let R2 have the inner product (u,v) = 4u, V, + 4u,V2, and let x = (3,1) and y = (4, – 1). a. Find ||x||, ly||, and | (x.y)|. b. Describe all vectors (z, Z2) that are orthogonal to y. a. Find | ||,...


Let R2 have the inner product (u,v) = 4u, V, + 4u,V2, and let x = (3,1) and y = (4, – 1).<br>a. Find ||x||, ly||, and | (x.y)|.<br>b. Describe all vectors (z, Z2) that are orthogonal to y.<br>a. Find | ||, \y||, and | (x.y) |?.<br>||x|| =(Simplify your answer. Type an exact answer, using radicals as needed.)<br>||y|| = (Simplify your answer. Type an exact answer, using radicals as needed.)<br>|(x.y) |? =D (Simplify your answer.)<br>b. Describe all vectors (z, z2) that are orthogonal to y. Choose the correct answer below.<br>A. All multiples of (- 1,4) are orthogonal to y.<br>B. All multiples of (1,4) are orthogonal to y.<br>C. All multiples of (1,- 4) are orthogonal to y.<br>D. The zero vector is the only vector orthogonal to y.<br>

Extracted text: Let R2 have the inner product (u,v) = 4u, V, + 4u,V2, and let x = (3,1) and y = (4, – 1). a. Find ||x||, ly||, and | (x.y)|. b. Describe all vectors (z, Z2) that are orthogonal to y. a. Find | ||, \y||, and | (x.y) |?. ||x|| =(Simplify your answer. Type an exact answer, using radicals as needed.) ||y|| = (Simplify your answer. Type an exact answer, using radicals as needed.) |(x.y) |? =D (Simplify your answer.) b. Describe all vectors (z, z2) that are orthogonal to y. Choose the correct answer below. A. All multiples of (- 1,4) are orthogonal to y. B. All multiples of (1,4) are orthogonal to y. C. All multiples of (1,- 4) are orthogonal to y. D. The zero vector is the only vector orthogonal to y.

Jun 04, 2022
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