Question: 10. Let {u , u } be an orthonormal basis forR . Let a and b be two real numbers such that a + b'

10. Let {u , u } be an orthonormal basis forR . Let a and b be two real numbers such that a + b' = 1. Show that the vectors {w, z} given by w = au +bu, and z = -bu +au, also form an orthonormal basis for R

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