1. Let {w₁, W2, W3} be an orthonormal basis for V. Given that v = between v and w₁ is 0 = 60° and ||v|| = 4, what is the value of a₁? (a) 1 (b) 2 (c) 3 d, wit d ₂ Wit dz Waf 2421 +₂22 +23. If the angle (d) 4 2. Equip R₂[x] with the inner product (p(x)|q(x)) = f₁ p(x)q(x) dx. If proj₁x² = ax for some a € R, what is the value of a? (a) 1/4 (b) 1/2 (c) 3/4 (d) 1/8

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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1. Let {w1₁, W2, W3} be an orthonormal basis for V. Given that v =
between v and w₁ is 0 = 60° and ||v|| = 4, what is the value of a₁?
(a) 1
(b) 2
(c) 3
d, wit d ₂ Wit
d3 W3₂
04244 +0₂2₂ +23. If the angle
(d) 4
2. Equip R₂[x] with the inner product (p(x)|q(x)) = fő¹ p(x)q(x) dx. If projx² = ax for some a ER,
what is the value of a?
(a) 1/4
(b) 1/2
(c) 3/4
(d) 1/8
Transcribed Image Text:1. Let {w1₁, W2, W3} be an orthonormal basis for V. Given that v = between v and w₁ is 0 = 60° and ||v|| = 4, what is the value of a₁? (a) 1 (b) 2 (c) 3 d, wit d ₂ Wit d3 W3₂ 04244 +0₂2₂ +23. If the angle (d) 4 2. Equip R₂[x] with the inner product (p(x)|q(x)) = fő¹ p(x)q(x) dx. If projx² = ax for some a ER, what is the value of a? (a) 1/4 (b) 1/2 (c) 3/4 (d) 1/8
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