Home/Algebra/Vectors/Unit vector15. VectorsUnit vectorLevel: intermedioIn 15. VectorsFormulaCopy LaTeXv^=v∥v∥\hat{\mathbf v}=\frac{\mathbf v}{\|\mathbf v\|}v^=∥v∥vTagsalgebraalgebra formulalinearvectorsvectors algebraDetailNormalizes a nonzero vector.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 section