TheoremBase

The Origin of Rn\mathbb{R}^n

Statement

Let nn be a natural number, and let 00 denote the additive identity of the field of real numbers.

The origin of Euclidean space Rn\mathbb{R}^n is the point

0Rn=(0,…,0)0_{\mathbb{R}^n}=(0,\dots,0)

all of whose coordinates equal 00.

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