What is length in the real world

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Question: Establish that for any n-dimensional vector x its length denoted by |x| equals to (x^Tx)^1/2 Please, do not give recursive definition of the type: length is an L2 norm therefore it is length. Think from the basic principles.

Start baby steps, what is length in the real world? How does it generalize to higher dimension? Does the basis in which x is defined matter?

Reference no: EM133217851

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