1. Given and compute each of the following.
(a)
(b)
(c)
2. Given and compute each of the following.
3. Given and compute each of the following.
4. Find a unit vector that points in the same direction as .
5. Find a unit vector that points in the same direction as .
6. Find a unit vector that points in the opposite direction as .
7. Find a unit vector that points in the opposite direction as .
8. Find a vector that points in the same direction as with a magnitude of .
9. Find a vector that points in the opposite direction as with a magnitude of 32.
10. Find a vector that points in the same direction as with a magnitude that is the magnitude of .
11. Determine if and are parallel vectors.
12. Determine if and are parallel vectors.
13. Determine if and are parallel vectors.
14. Prove the property : .
15. Prove the property : .
16. Prove the property : .
17. Prove the property : .