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Calculus II - Assignment Problems
 Series & Sequences Previous Chapter Next Chapter 3-Dimensional Space Vectors - The Basics Previous Section Next Section Dot Product

## Vector Arithmetic

1. Given  and  compute each of the following.

(a)

(b)

(c)

2. Given  and  compute each of the following.

(a)

(b)

(c)

3. Given  and  compute each of the following.

(a)

(b)

(c)

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 : .

 Vectors - The Basics Previous Section Next Section Dot Product Series & Sequences Previous Chapter Next Chapter 3-Dimensional Space

[Notes]

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