| Term | Definition |
| fixed vector | a vector that acts at a particular point in space |
| sliding vector | a vector that may be applied to any point along its line of action |
| free vector | a vector that act anywhere in space |
| concurrent vectors | vectors that have lines of action that pass through the same point |
| sine law | A/sin a = B/sin b = C/sin c |
| cosine law | C = (A^2 +B^2 +2AB cos c)^(1/2) |
| range of inverse sine | [-pi/2, pi/2] |
| range of inverse cosine | [0, pi] |
| range of inverse tangent | (-pi/2, pi/2) |
| range of inverse cosecant | [-pi/2, 0) or (0, pi/2] |
| range of inverse secant | [0, pi/2) or (pi/2, pi] |
| range of inverse cotangent | (-pi/2, 0) or (0, pi/2] |
| position vector | terminus (tip) point - origin (tail) point |