Question: Let x, y R n be two unit-norm vectors, that is, such that x 2 = y 2 = 1. Show that the vectors

Let x, y ∈ Rⁿ be two unit-norm vectors, that is, such that ΙΙxΙΙ₂= ΙΙyΙΙ₂= 1. Show that the vectors x – y and x + y are orthogonal. Use this to find an orthogonal basis for the subspace spanned by x and y.

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