Fundamentals of Technical Mathematics

8.3. Exercises

In exercises 1–6, identify the following physical quantities as scalars or vectors.

1. acceleration

2. speed

3. frequency

4. sound

5. energy

6. gravity

In exercises 7–14, if u→=〈−3,5〉 and v→=〈2,−1〉, calculate each quantity below.

7. u→+v→

8. u→−v→

9. 5u→−v→

10. 3u→+2v→

11. ‖u→‖

12. 9‖v→‖

13. ‖u→‖+‖v→‖

14. ‖u→+v→‖

In exercises 15–18, add the following vectors ...