Home/Algebra/Vectors/Euclidean norm15. VectorsEuclidean normLevel: intermedioIn 15. VectorsFormulaCopy LaTeX∥v∥2=∑ivi2\|\mathbf v\|_2=\sqrt{\sum_i v_i^2}∥v∥2=i∑vi2Tagsalgebraalgebra formulalinearvectorsvectors algebraDetailEuclidean length of a vector.Explore the ideaFound an error? Contact us.Related formulasRelatedUnit vectorv^=v∥v∥\hat{\mathbf v}=\frac{\mathbf v}{\|\mathbf v\|}v^=∥v∥vOpen formulaOpen in sectionRelatedEuclidean distanced(u,v)=∥u−v∥2d(u,v)=\|u-v\|_2d(u,v)=∥u−v∥2Open formulaOpen in section