Consider the plane in R^4 , calculate an orthonormal basis 

[Orthogonal complement in dimension 4]. Consider the plane M in R^4 defined by the following equations:

(Image 1)
(a) Calculate an orthonormal basis (v1, v2) for M
(b) Calculate an orthonormal basis (W1, W2) for the orthogonal complement of M, N= M ⊥
(c) Prove that the family β = (V1, V2,W1,W2) is an orthonormal basis for R^4

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  • the set of vectors and how to get them is fine


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