Subjects/Basic Physics/Vectors/Cartesian decomposition1. VectorsCartesian decompositionIn 1. VectorsFormulaCopy LaTeXA=Axi^+Ayj^+Azk^In two dimensionsCopy LaTeXAx=Acosθ,Ay=AsinθRelated formulasRelatedMagnitude of a vector∣A∣=Ax2+Ay2+Az2Open formulaOpen in sectionRelatedVector additionR=i∑AiOpen formulaOpen in sectionRelatedInitial velocity components of a projectilev0x=v0cosθ,v0y=v0sinθOpen formulaOpen in sectionRelatedWeight components on an inclined planeFg,∥=mgsinθOpen formulaOpen in section