Calculus 3 : Calculus 3

Study concepts, example questions & explanations for Calculus 3

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Example Questions

Example Question #2441 : Calculus 3

Solve:

Possible Answers:

Correct answer:

Explanation:

The dot product of two vectors is given by the sum of the products of the corresponding components (for example )

Our final answer is

Example Question #123 : Dot Product

Find the dot product between the vectors  and .

Possible Answers:

Correct answer:

Explanation:

he formula for the dot product between two vectors  and  is . We then get 

Example Question #441 : Vectors And Vector Operations

Find the dot product between the vectors  and 

Possible Answers:

Correct answer:

Explanation:

The formula for the dot product between two vectors  and  is . Using the vectors from the problem statement, we get 

Example Question #2442 : Calculus 3

Solve:

Possible Answers:

Correct answer:

Explanation:

The dot product of two vectors is given by the sum of the products of the corresponding components (for example, )

Our final answer is

Example Question #443 : Vectors And Vector Operations

Find the dot product between  and 

Possible Answers:

Correct answer:

Explanation:

To find the dot product between two vectors  and  we use the formula . Using the vectors in the problem statement, we get 

Example Question #444 : Vectors And Vector Operations

Find the dot product between  and 

Possible Answers:

Correct answer:

Explanation:

To find the dot product between two vectors  and  we use the formula . Using the vectors in the problem statement, we get 

Example Question #445 : Vectors And Vector Operations

Find the dot product between  and 

Possible Answers:

Correct answer:

Explanation:

To find the dot product between two vectors  and  we use the formula . Using the vectors in the problem statement, we get 

Example Question #446 : Vectors And Vector Operations

Find the dot product between  and 

Possible Answers:

Correct answer:

Explanation:

To find the dot product between two vectors  and  we use the formula . Using the vectors in the problem statement, we get 

Example Question #447 : Vectors And Vector Operations

Find the dot product between  and 

Possible Answers:

Correct answer:

Explanation:

To find the dot product between two vectors  and  we use the formula . Using the vectors in the problem statement, we get 

Example Question #448 : Vectors And Vector Operations

Find the dot product between  and 

Possible Answers:

Correct answer:

Explanation:

To find the dot product between two vectors  and  we use the formula . Using the vectors in the problem statement, we get 

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