Let u1 = [1, 3, 0], u2 = [-20, 30, 10], u3 = [4, -3, 2] be a basis for R3. Use the Gram-Schmidt process to find an orthogonal basis under the Eculidean inner product.Orthogonal basis: v1 = [1, 3, 0], v2 = [-27, 9, 10], v3 = [a, b, c]Solve for a, b, c. -3 be a basis for R³. Use the Gram-Schmidt process toLet3=Աշ-20=U34«{¨Ð-E¯Ð}102find an orthogonal basis under the Euclidean inner product.-0-0-8Orthogonal basis: V₁ =a = Ex: 1.23b == Ex: 1.230c Ex: 1.230

-3 be a basis for R³. Use the Gram-Schmidt process to Let 3 = Աշ -20 = U3 4 «{¨Ð-E¯Ð} 10 2 find an orthogonal basis under the Euclidean inner product. -0-0-8 Orthogonal basis: V₁ = a = Ex: 1.23 b = = Ex: 1.230 c Ex: 1.230

-3 be a basis for R³. Use the Gram-Schmidt process to Let 3 = Աշ -20 = U3 4 «{¨Ð-E¯Ð} 10 2 find an orthogonal basis under the Euclidean inner product. -0-0-8 Orthogonal basis: V₁ = a = Ex: 1.23 b = = Ex: 1.230 c Ex: 1.230

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 10E

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Question

Let u₁ = [1, 3, 0], u₂ = [-20, 30, 10], u₃= [4, -3, 2] be a basis for R³. Use the Gram-Schmidt process to find an orthogonal basis under the Eculidean inner product.

Orthogonal basis: v₁ = [1, 3, 0], v₂ = [-27, 9, 10], v₃ = [a, b, c]

Solve for a, b, c.

-3 be a basis for R³. Use the Gram-Schmidt process to
Let
3
=
Աշ
-20
=
U3
4
«{¨Ð-E¯Ð}
10
2
find an orthogonal basis under the Euclidean inner product.
-0-0-8
Orthogonal basis: V₁ =
a = Ex: 1.23
b =
= Ex: 1.230
c Ex: 1.230

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