Normalizing Vectors

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A nonzero vector is normalized by dividing it by its length. The resulting vector has length 1 and lies in the same direction.

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In 2D, the length of is given by Pythagoras's formula: .

In 3D, the length of is .

In any dimension, the normalized vector of is .

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Contributed by: George Beck (March 2011)
Open content licensed under CC BY-NC-SA


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