(a) Under what conditions on u and v is ||u + v||E = ||u||E + ||v||E? Explain...

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(a) Under what conditions on u and v is ||u + v||E = ||u||E + ||v||E? Explain your answer.
(b) Under what conditions on u and v is ||u +v||, = ||u||, + ||v||s? Explain your answer.
(c) Under what conditions on u and v is ||u + v||m = ||u||m + ||v||m? Explain your answer.
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