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
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
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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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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