matura.mkSecondary school › Vectors
Vectors: problems with solutions
40 groups of practice problems: vectors in geometry and in coordinates, parallel vectors, the dot product and applications. Every problem has a step-by-step solution.
The problems are useful for the State Matura, for the external exam and for university entrance exams.
| Topic | What you practise | Problems |
|---|---|---|
| Vectors in geometry | Equal and opposite vectors, addition, midpoints, centroid, points dividing a segment, the regular hexagon. | 12 |
| Vectors in coordinates | Position vectors, length, equal vectors, operations, unit vectors and components. | 9 |
| Parallel vectors and applications | Velocity and bearings, parallel and collinear vectors, linear combinations and linear dependence. | 8 |
| The dot product | Dot product, angle between vectors, perpendicular vectors, area, lines, projection and work. | 11 |