Home/Basic Physics/Vectors/Unit vector1. VectorsUnit vectorIn 1. VectorsFormulaCopy LaTeXu^A=A⃗∣A⃗∣\hat u_A=\frac{\vec A}{|\vec A|}u^A=∣A∣ATagsphysicsphysics formulavectorsDetailproduces a vector of magnitude one with the same direction and sense as A⃗\vec AA.Explore the ideaExplore the ideaConditions∣A⃗∣≠0|\vec A|\neq0∣A∣=0.Found an error? Contact us.Related formulasRelatedMagnitude of a vector∣A⃗∣=Ax2+Ay2+Az2|\vec A|=\sqrt{A_x^2+A_y^2+A_z^2}∣A∣=Ax2+Ay2+Az2Open 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 section