Home/Algebra/Vectors/Angle between vectors15. VectorsAngle between vectorsLevel: intermedioIn 15. VectorsFormulaCopy LaTeXcosθ=u⋅v∥u∥∥v∥\cos\theta=\frac{u\cdot v}{\|u\|\|v\|}cosθ=∥u∥∥v∥u⋅vTagsalgebraalgebra formulalinearvectorsvectors algebraDetailObtains the angle between two nonzero vectors.Explore the ideaFound an error? Contact us.Related formulasRelatedDot productu⋅v=∑iuivi=∥u∥∥v∥cosθ\mathbf u\cdot\mathbf v=\sum_i u_iv_i=\|u\|\|v\|\cos\thetau⋅v=i∑uivi=∥u∥∥v∥cosθOpen formulaOpen in section