Definition:Vector Length/Arrow Representation
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Let $\mathbf v$ be a vector quantity represented as an arrow in a real vector space $\R^n$.
The length of $\mathbf v$ is the length of the line segment representing $\mathbf v$ in $\R^n$.
Also known as
The length of a vector is also referred to as its module in some older books.
- 1921: C.E. Weatherburn: Elementary Vector Analysis ... (previous) ... (next): Chapter $\text I$. Addition and Subtraction of Vectors. Centroids: Definitions: $2$. Length vectors
- 1957: D.E. Rutherford: Vector Methods (9th ed.) ... (previous) ... (next): Chapter $\text I$: Vector Algebra: $\S 1$.
- 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 22$: Notation for Vectors