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zli034

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It has been very useful of posting my questions here to help me pushing through the book reading of analysis. This forum is a perfect place and the best place for people who are interested in knowledge and the beauty of knowledge. Here goes another question from me.

All continuous functions on closed interval [a, b] is a vector space. What is the difference with the normed vector space?

What are the vectors?

In the 3D space, a vector is just a point which is indicated by the 3 coordinates.

How do I understand the vector space of functions and normed vector spaces.