Home/Algebra/Vectors/Euclidean distance15. VectorsEuclidean distanceLevel: intermedioIn 15. VectorsFormulaCopy LaTeXd(u,v)=∥u−v∥2d(u,v)=\|u-v\|_2d(u,v)=∥u−v∥2Tagsalgebraalgebra formulalinearvectorsvectors algebraDetailDistance between two points/vectors.Explore the ideaFound an error? Contact us.Related formulasRelatedEuclidean norm∥v∥2=∑ivi2\|\mathbf v\|_2=\sqrt{\sum_i v_i^2}∥v∥2=i∑vi2Open formulaOpen in sectionRelatedLeast-squares problemx^=argminx∥Ax−b∥22\hat x=\arg\min_x\|Ax-b\|_2^2x^=argxmin∥Ax−b∥22Open formulaOpen in section