1. Vectors in Different Spaces and Domains

   1. Point in Space

   2. Radius Vectors

   3. Directional Vectors

   4. Coordinate Transformation between different Domains

   5. 3D Space- general ideas about 3d Surface description

   6. Parametric description of the Surface

   7. Point at the surface

   8. Normal vector to the surface

   9. Tangent plane to the surface

   10. Curvatures of the surface

   11. Surface’s representation in form of Paraboloid

   12. Principal Curvatures

   13. Principal Directions on the Surface

   14. Line on the surface

   15. Kinematics of the point moving on the surface along the line described

   16. Contact between two surfaces (Paraboloids)

   17. Contact Ellipse: size and orientation

   18. Interaction between Two surfaces in motion

Conjugate Surfaces

Mismatched Surfaces

Point and Line contact