use the weighted inner product (v, w) Let R2 have the standard dot product. Classify the following pairs of vectors as (i) basis, (ii) orthogonal basis, and/or (iii) orthonormal basis: V1 ₁ = (-2) ₁×₂ = ₁ ₁ 2 2 , =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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kindly answer it 4.1.3 (a)

use the weighted inner product (v, w)
=
V1
₁ = ( − ²)₁ ²₂2 = ( ² )
,
1 ₁/2 2
Let R2 have the standard dot product. Classify the following pairs of vectors as
(i) basis, (ii) orthogonal basis, and/or (iii) orthonormal basis:
Transcribed Image Text:use the weighted inner product (v, w) = V1 ₁ = ( − ²)₁ ²₂2 = ( ² ) , 1 ₁/2 2 Let R2 have the standard dot product. Classify the following pairs of vectors as (i) basis, (ii) orthogonal basis, and/or (iii) orthonormal basis:
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