Proof Prove that if u and v are vectors in Rn, then!u + v!2 + !u v!2 = 2!u!2 + 2!v!2
Chapter 5, Problem 50(choose chapter or problem)
Proof Prove that if \(\mathbf{u}\) and \(\mathbf{v}\) are vectors in \(R^{n}\), then \(\|\mathbf{u}+\mathbf{v}\|^{2}+\|\mathbf{u}-\mathbf{v}\|^{2}=2\|\mathbf{u}\|^{2}+2\|\mathbf{v}\|^{2}\).
Text Transcription:
u
v
R^n
|u + v|^2 + |u - v|^2 = 2|u|^2 + 2|v|^2
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