Calculus 2 : Graphing Vectors

Study concepts, example questions & explanations for Calculus 2

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Example Questions

Example Question #31 : Parametric, Polar, And Vector Functions

The graph of the vector function can also be represented by the graph of which of the following functions in rectangular form?

Possible Answers:

Correct answer:

Explanation:

We can find the graph of  in rectangular form by mapping the parametric coordinates to Cartesian coordinates :

We can now use this value to solve for :

Example Question #12 : Graphing Vectors

The graph of the vector function can also be represented by the graph of which of the following functions in rectangular form?

Possible Answers:

Correct answer:

Explanation:

We can find the graph of  in rectangular form by mapping the parametric coordinates to Cartesian coordinates :

We can now use this value to solve for :

Example Question #11 : Graphing Vectors

The graph of the vector function can also be represented by the graph of which of the following functions in rectangular form?

Possible Answers:

Correct answer:

Explanation:

We can find the graph of  in rectangular form by mapping the parametric coordinates to Cartesian coordinates :

We can now use this value to solve for :

Example Question #12 : Graphing Vectors

In which quadrant does the vector  terminate from the origin?

Possible Answers:

Correct answer:

Explanation:

The vector

goes units right from the origin and  units up, terminating in Quadrant I.

Example Question #13 : Graphing Vectors

In which quadrant does the vector  terminate from the origin?

Possible Answers:

Correct answer:

Explanation:

The vector

goes  units right from the origin and  units down, terminating in Quadrant IV.

Example Question #14 : Graphing Vectors

In which quadrant does the vector  terminate from the origin?

Possible Answers:

Correct answer:

Explanation:

The vector

goes  units left from the origin and  units up, terminating in Quadrant II.

Example Question #15 : Graphing Vectors

In which quadrant does the vector  terminate from the origin?

Possible Answers:

Correct answer:

Explanation:

The vector

goes unit left from the origin and  units down, terminating in Quadrant III.

Example Question #12 : Graphing Vectors

In which quadrant does the vector  terminate from the origin?

Possible Answers:

Quadrant II

Quadrant IV

Quadrant I

Quadrant III

Correct answer:

Quadrant I

Explanation:

From the origin, the vector  goes to the right  units and up  units, terminating in

Quadrant I.

Example Question #13 : Graphing Vectors

In which quadrant does the vector  terminate from the origin?

Possible Answers:

Quadrant II

Quadrant III

Quadrant I

Quadrant IV

Correct answer:

Quadrant III

Explanation:

From the origin, the vector  goes to the left  units and down  units, terminating in

Quadrant III.

Example Question #14 : Graphing Vectors

In which quadrant does the vector  terminate from the origin?

 

 
Possible Answers:

Quadrant II

Quadrant IV

Quadrant I

Quadrant III

Correct answer:

Quadrant IV

Explanation:

From the origin, the vector  goes to the right  units and down  units, terminating in

Quadrant IV.

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