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

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

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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.

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