Calculus 2 : Parametric, Polar, and Vector

Study concepts, example questions & explanations for Calculus 2

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Example Questions

Example Question #91 : Vector Calculations

Vector .

Calculate the magnitude, or , of 

Possible Answers:

Correct answer:

Explanation:

Calculating magnitude:

If 

Then the magnitude of  is 

Note: Magnitude, length, and norm are synonymous.

 cannot be further reduced, and so 

Example Question #92 : Vector Calculations

Vector .

Calculate the magnitude of  , as in 

Possible Answers:

Correct answer:

Explanation:

Calculating magnitude:

If 

Then the magnitude of  is 

Note: Magnitude, length, and norm are synonymous.

Note: , and this is a basic trig identity that you should know.

 

 cannot be further reduced, and so 

Example Question #601 : Parametric, Polar, And Vector

Vector .

Calculate the magnitude, or , of 

Possible Answers:

Correct answer:

Explanation:

Calculating magnitude:

If 

Then the magnitude of  is 

Note: Magnitude, length, and norm are synonymous.

Example Question #7 : Vector Form

Calculate 

Possible Answers:

Correct answer:

Explanation:

Calculate the sum of vectors.

In general,

Solution:

Example Question #601 : Parametric, Polar, And Vector

Calculate 

Possible Answers:

Correct answer:

Explanation:

Calculate the sum of vectors.

In general,

Solution:

Example Question #101 : Vector Calculations

Calculate 

Possible Answers:

Correct answer:

Explanation:

Calculate the sum of vectors.

In general,

Solution:

Example Question #102 : Vector Calculations

Calculate 

Possible Answers:

Correct answer:

Explanation:

Calculate the dot product of the 2 vectors.

In general,

Solution:

Example Question #103 : Vector Calculations

Calculate 

Possible Answers:

Correct answer:

Explanation:

Calculate the dot product of the 2 vectors.

In general,

Solution:

Example Question #104 : Vector Calculations

Calculate 

Possible Answers:

Correct answer:

Explanation:

Calculate the sum of vectors.

In general,

Solution:

Example Question #105 : Vector Calculations

Calculate 

Possible Answers:

Correct answer:

Explanation:

Calculate the dot product of the 2 vectors.

In general,

Solution:

 

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