Paul's Online Math Notes
Calculus II (Assignment Problems) / Vectors / Vector Arithmetic   [Notes] [Practice Problems] [Assignment Problems]

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

Calculus II (Assignment Problems) / Vectors / Vector Arithmetic    [Notes] [Practice Problems] [Assignment Problems]

© 2003 - 2017 Paul Dawkins