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

(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

Vienrods

27

## Answer

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Alessandro Iraci

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The answer is accepted.

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Do you need all the calculations or are you happy with the set of vectors (and the way to get them) and do the calculations yourself?

the set of vectors and how to get them is fine