I need answers for 1 and 2 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) 3d, wit d ₂ Witd3 W3₂04244 +0₂2₂ +23. If the angle(d) 42. 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

Answered: Image /qna-images/answer/d5faf2ae-eddb-4402-a034-ad769023513e.jpg

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

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

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.3: Orthonormal Bases:gram-schmidt Process

Problem 17E: Complete Example 2 by verifying that {1,x,x2,x3} is an orthonormal basis for P3 with the inner...

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