Calculus 3 : Vector Addition

Study concepts, example questions & explanations for Calculus 3

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Example Questions

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Example Question #1 : Vector Addition

Let , and ,

find 

Possible Answers:

Correct answer:

Explanation:

In order to find , we need to add like components. 

Example Question #2 : Vector Addition

Given the vectors 

 and , compute .

Possible Answers:

Correct answer:

Explanation:

To add two vectors , we simply add their components:

Example Question #3 : Vector Addition

Given the vectors 

 and , compute .

Possible Answers:

Correct answer:

Explanation:

To add two vectors , we simply add their components:

Example Question #3 : Vector Addition

Find the sum of the vectors given below

Possible Answers:

Correct answer:

Explanation:

When adding vectors, it is important to note that the summation only occurs between terms that have the same coordinate direction .  Therefore, we find 

Example Question #4 : Vector Addition

Find the sum of the two vectors. 

Possible Answers:

Correct answer:

Explanation:

The sum of two vectors  and  is defined as

For the vectors 

Example Question #5 : Vector Addition

Given vectors

find .

Possible Answers:

Correct answer:

Explanation:

To find the sum , we add their components:

Example Question #6 : Vector Addition

Given the vectors

find the sum .

Possible Answers:

Correct answer:

Explanation:

To find the sum of the vectors

 we add their components:

Example Question #7 : Vector Addition

Add the following vectors:

Where

,  

Possible Answers:

Correct answer:

Explanation:

Vector addition is done as follows:

For this problem:

Example Question #8 : Vector Addition

Add the vectors  given:   and 

Possible Answers:

Correct answer:

Explanation:

Multiply the vectors with the constants first.

Evaluate .

Evaluate .

Add the vectors .

The answer is:  

Example Question #9 : Vector Addition

Given the vectors 

find the sum .

Possible Answers:

Correct answer:

Explanation:

Given the vectors 

we can find the sum  by adding component by component:

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