The vectors v1, v2 and v3 form an orthonormal basis for R3 where v1:=vector([0,0,-1]); v2:=vector([1/sqrt(2),1/sqrt(2),0]); v3:=vector([-1/sqrt(2),1/sqrt(2),0]); The coordinates of the vector w:=vector([1,-1,1]) with respect to the basis vectors v1, v2 and v3 of R3 are
The vectors v1, v2 and v3 form an orthonormal basis for R3 where v1:=vector([0,0,-1]); v2:=vector([1/sqrt(2),1/sqrt(2),0]); v3:=vector([-1/sqrt(2),1/sqrt(2),0]); The coordinates of the vector w:=vector([1,-1,1]) with respect to the basis vectors v1, v2 and v3 of R3 are
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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The
v1:=vector([0,0,-1]);
v2:=vector([1/sqrt(2),1/sqrt(2),0]);
v3:=vector([-1/sqrt(2),1/sqrt(2),0]);
The coordinates of the vector w:=vector([1,-1,1]) with respect to the basis vectors v1, v2 and v3 of R3 are:
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