Home/Basic Physics/Vectors/Magnitude of a vector1. VectorsMagnitude of a vectorIn 1. VectorsFormulaCopy LaTeX∣A⃗∣=Ax2+Ay2+Az2|\vec A|=\sqrt{A_x^2+A_y^2+A_z^2}∣A∣=Ax2+Ay2+Az2Tagsphysicsphysics formulavectorsDetailcomputes the magnitude of a vector from its Cartesian components.Explore the ideaExplore the ideaVariablesAx,Ay,AzA_x,A_y,A_zAx,Ay,Azcomponents of the vector.Found an error? Contact us.Related formulasRelatedUnit vectoru^A=A⃗∣A⃗∣\hat u_A=\frac{\vec A}{|\vec A|}u^A=∣A∣AOpen formulaOpen in sectionRelatedCartesian decompositionA⃗=Axi^+Ayj^+Azk^\vec A=A_x\hat i+A_y\hat j+A_z\hat kA=Axi^+Ayj^+Azk^Open formulaOpen in sectionRelatedDot productA⃗⋅B⃗=ABcosθ\vec A\cdot\vec B=AB\cos\thetaA⋅B=ABcosθOpen formulaOpen in section