Terminology And Notation – Equality – Product Of A Vector And A Scalar – Zero Vectors – Unit Vectors – Vector Addition – Resolution Of Vectors And Components – Angle Between Two Vectors – Scalar (Dot) Product Of Vectors – Vector (Cross) Product Of Vectors – Scalar Triple Product Of Three Vectors – Vector Triple Product Of Three Vectors – Derivative Of A Vector – Centroids And Surface Properties – Position Vector – First Moment – Centroid Of A Set Of Points – Centroid Of A Curve, Surface, Or Solid – Mass Center Of A Set Of Particles – Mass Center Of A Curve, Surface, Or Solid – First Moment Of An Area – Theorems Of Guldinus±Pappus – Second Moments And The Product Of Area – Transfer Theorem Or Parallelaxis Theorems – Polar Moment Of Area – Principal Axes – Moments And Couples – Moment Of A Bound Vector About A Point – Moment Of A Bound Vector About A Line – Moments Of A System Of Bound Vectors – Couples – Equivalence – Representing Systems By Equivalent Systems – Equilibrium – Equilibrium Equations – Supports – Freebody Diagrams – Dry Friction – Static Coef®Cient Of Friction – Kinetic Coef®Cient Of Friction – Angles Of Friction .