For any 2D vector given by <m, n> the normalized or unity of this vector can be determined. It is the vector multiplied by the reciprocal of its norm or metric. The metric is simply the square root of m+n. Furthermore, the metric function D satisfies the following properties: D(m, n)=0 if and only if m=n, D(m, n)=D(n, m), and D(m, n)+D(n, w)≥D(m, w) for all real numbers m, n, and w. Therefore, the unit vector is given by <m, n>/( m+n).

In one dimension, the unit vector is given by the positive value of <m>/m. For all attractive potentials the unit vector is <-m>/m and for electrostatic and magnetostatic the unit vector is <±m>/m. For color potential the unit vector become unit trivectors of RGB color charges. Their equivalent notations are: <R,G,B>, <R,G,B>, <R,G,B>, <R,G,B>, <R,G,B>, <R,G,B>, <R,G,B>, and <R,G,B>. All underscores indicate anticolors. Their unit trivectors are given by the multiplicative factor 1/√3.