Calculus 3 : Dot Product

Study concepts, example questions & explanations for Calculus 3

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Example Questions

Example Question #121 : Dot Product

Find the dot product between  and 

Possible Answers:

Correct answer:

Explanation:

The formula for the dot product between two vectors  and  is . Using the vectors in the problem statement, this becomes .

Example Question #122 : Dot Product

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, )

Using this, we get

 

Example Question #123 : Dot Product

Find the dot product between the vectors  and .

Possible Answers:

Correct answer:

Explanation:

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

Example Question #124 : Dot Product

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 #125 : 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 #126 : Dot Product

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 #127 : Dot Product

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 #128 : Dot Product

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 #129 : Dot Product

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 #130 : Dot Product

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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