A "Unit Vector" is a vector of length 1. Given a general (non-zero) vector $v$ we can compute the associated unit vector by dividing by its magnitude:

$u~=~\frac{v}{|v|}$

(none)	(none)			MagnitudeOfAVector MatrixMultiplication Quaternion Vectors
↓	↓		↓	↓
(none)			ScalarProduct
			↓
		⇌	You are here UnitVector
			↓
			MagnitudeOfAVector
↓	↓		↓	↓
(none)	(none)			AbsoluteValue PythagorasTheorem RationalNumber RealNumber ScalarProduct SquareRoot Vectors

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Unit Vector

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Local neighbourhood - D3