Calculus 3 : Dot Product

Study concepts, example questions & explanations for Calculus 3

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Example Questions

Example Question #394 : Vectors And Vector Operations

Find the dot product:    

Possible Answers:

Correct answer:

Explanation:

Write the dot product formula.

Substitute the values of the vectors and solve.  The dot product will result in a number, not a vector.

The dot product is:  

Example Question #391 : Vectors And Vector Operations

Find the length  of the vector 

Possible Answers:

Correct answer:

Explanation:

To find the length  of the vector , we take the square root of the dot product :

Example Question #396 : Vectors And Vector Operations

Find the length  of the vector .

Possible Answers:

Correct answer:

Explanation:

To find the length  of the vector , we take the square root of the dot product :

Example Question #2401 : Calculus 3

Find the length  of the vector .

Possible Answers:

Correct answer:

Explanation:

To find the length  of the vector , we take the square root of the dot product :

Example Question #2402 : Calculus 3

Find the length  of the vector .

Possible Answers:

Correct answer:

Explanation:

To find the length  of the vector , we take the square root of the dot product :

Example Question #2403 : Calculus 3

Find the length  of the vector .

Possible Answers:

Correct answer:

Explanation:

To find the length  of the vector , we take the square root of the dot product :

Example Question #2404 : Calculus 3

Find the length  of the vector .

Possible Answers:

Correct answer:

Explanation:

To find the length  of the vector , we take the square root of the dot product :

Example Question #2405 : Calculus 3

Find the length  of the vector .

Possible Answers:

Correct answer:

Explanation:

To find the length  of the vector , we take the square root of the dot product :

Example Question #2406 : Calculus 3

Find the length  of the vector .

Possible Answers:

Correct answer:

Explanation:

To find the length  of the vector , we take the square root of the dot product :

Example Question #2407 : Calculus 3

Find the length  of the vector .

Possible Answers:

Correct answer:

Explanation:

To find the length  of the vector , we take the square root of the dot product :

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