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Mathematics-Online lexicon:

Absolute Value (Magnitude)

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The magnitude of $ \vec{a} = \overrightarrow{PQ}$ is the length of the arrow pointing from $ P$ to $ Q$ or from $ O$ to $ A$ , resp., that is,

$\displaystyle \vert\vec{a}\vert = \sqrt{a_1^2 + a_2^2 + a_3^2}\, . $

In particular we have $ \vert s\vec{a}\vert = \vert s\vert\vert\vec{a}\vert$ .

Any vector whose magnitude is $ 1$ is called a unit vector.

see also:

[Examples]
  automatically generated 3/28/2008