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

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

 

1. Given  and  compute each of the following.

    (a)  

    (b)  

    (c)  

[Solution] 

 

2. Given  and  compute each of the following.

    (a)  

    (b)  

    (c)  

[Solution] 

 

3. Find a unit vector that points in the same direction as . [Solution]

 

4. Find a vector that points in the same direction as  with a magnitude of 10. [Solution]

 

5. Determine if  and  are parallel vectors. [Solution]

 

6. Determine if  and  are parallel vectors. [Solution]

 

7. Prove the property : . [Solution]

 

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

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

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