Consider the real space R3 provided with the usual inner product. Given the elements u=(1,1,1) and v=(2,-1,1).Determine the elements w1 and w2 such that v=w1+w2, so that w1 is orthogonal to element u and that the set {w2,u} is Linearly dependent. Give a geometric interpretation

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 24EQ
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Consider the real space R3 provided with the usual inner product. Given the elements u=(1,1,1) and v=(2,-1,1).Determine the elements w1 and w2 such that v=w1+w2, so that w1 is orthogonal to element u and that the set {w2,u} is Linearly dependent. Give a geometric interpretation

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