Statics of Particles
0:12 Scalars and Vectors
1:20 Vector Definition
7:17 Vectors in Four Quadrants
14:52 Vectors in Space
18:15 Resultant of Vectors
31:14 Resolution of a Vector: components, projection
40:12 Dot product
49:32 Equilibrium of a Particle, Lami's Theorem
57:15 A Vector along a line joining two points in space
Statics of Rigid Bodies
Equivalent Systems
This video contains four examples on converting a system of forces and couples into a single force-couple system acting at / about a chosen point / plane.