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Triangle inequality

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Prove the triangle inequality starting with: |V+W|^2

You must use Re < W | V >(less than or equal to) |< V|W >| and the Schwarz inequality.

Show that the final inequality becomes an equality only if

|V> = b|W> where b is a real positive scalar.

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This provides an example of proving the triangle inequality using the Schwarz inequality.

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