32Show that thevectors-3 ,u2 =2 ,u3= |1 form an orthogonal basis for R3. Make thisbasis an orthonormal basis, and then use that basis to find the representation of i =-3 in that1basis using the formula i = c,u, + c2u2 + c3u3 where c; =(j = 1,2,3).

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Answered: 3 2 Show that the vectors -3 ,u2 = 2…

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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3 2 Show that the vectors -3 ,u2 = 2 ,u3 = |1 form an orthogonal basis for R3. Make this basis an orthonormal basis, and then use that basis to find the representation of i = -3 in that 1 basis using the formula i = c,u, + c2u2 + c3u3 where c; = (j = 1,2,3).