Calculus 3 : Distance between Vectors

Study concepts, example questions & explanations for Calculus 3

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Example Questions

Example Question #81 : Calculus 3

Find the distance between the vectors  and .

Possible Answers:

Correct answer:

Explanation:

To find the distance between two vectors  and  is . Using the vectors given, we get 

Example Question #82 : Calculus 3

Find the distance between the vectors  and 

Possible Answers:

Correct answer:

Explanation:

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

Example Question #83 : Calculus 3

Find the distance between the vectors  and 

Possible Answers:

Correct answer:

Explanation:

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

Example Question #84 : Calculus 3

Find the distance between the vectors  and 

Possible Answers:

Correct answer:

Explanation:

To find the distance between two vectors  and , we use the formula . Plugging in the vectors from the problem statement, we get 

Example Question #11 : Distance Between Vectors

Find the distance between the vectors  and 

Possible Answers:

Correct answer:

Explanation:

o find the distance between two vectors  and , we use the formula . Plugging in the vectors from the problem statement, we get 

Example Question #86 : Calculus 3

Find the distance between the vectors  and 

Possible Answers:

Correct answer:

Explanation:

To find the distance between two vectors  and , we use the formula

Using the vectors from the problem statement, we get 

Example Question #87 : Calculus 3

Find the distance between the vectors  and 

Possible Answers:

Correct answer:

Explanation:

To find the distance between two vectors  and , we use the formula

Using the vectors from the problem statement, we get 

Example Question #12 : Distance Between Vectors

Find the distance between the vectors  and 

Possible Answers:

Correct answer:

Explanation:

To find the distance between two vectors  and , we use the formula

Using the vectors from the problem statement, we get 

Example Question #89 : Calculus 3

Find the distance between the vectors  and 

Possible Answers:

Correct answer:

Explanation:

To find the distance between two vectors  and , we use the formula

Using the vectors from the problem statement, we get 

Example Question #90 : Calculus 3

Find the distance between the two vectors u and v:

 

Possible Answers:

Correct answer:

Explanation:

The Euclidean distance between two vectors:

    and   

is given by:

For the given vectors, this results in the distance:

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