Consider the following vectors: --8-8-8 W2 = 0 Enter the vector n in the form [C₁, C₂, C3]: = 0 V = -3 2 The set B = {W₁, W₂} is an orthogonal basis of a subspace W = Span (w₁, W₂) of R³. Find a vector n which is orthogonal to W, and such that vn is in W.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following vectors:
W1
Enter the vector in the form [C₁, C₂, C3]:
=
0
0
1
9
W2
=
1
0
0
2
V =
2
– 3
2
The set B = {W₁, W2} is an orthogonal basis of a subspace W = Span (W₁, W₂) of R³ . Find a vector n which is orthogonal to W, and such
that v n is in W.
Transcribed Image Text:Consider the following vectors: W1 Enter the vector in the form [C₁, C₂, C3]: = 0 0 1 9 W2 = 1 0 0 2 V = 2 – 3 2 The set B = {W₁, W2} is an orthogonal basis of a subspace W = Span (W₁, W₂) of R³ . Find a vector n which is orthogonal to W, and such that v n is in W.
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