Consider the following vectors: -3 W₁ = -3 ,W2 = 10 V= 0 -3 -12 -2 The set B = {W₁, W₂} is an orthogonal basis of a subspace W = Span (W₁, W₂) of R³. Find a vector in which is orthogonal to W, and such that v - nis in W. Enter the vector in in the form [C₁, C2, C3]: -3

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:
2
W₁ =
-3
, W₂ =
10
V =
-12
-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 - nis
in W.
Enter the vector n in the form [c₁, C2, C3]:
2
0
Transcribed Image Text:Consider the following vectors: 2 W₁ = -3 , W₂ = 10 V = -12 -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 - nis in W. Enter the vector n in the form [c₁, C2, C3]: 2 0
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