Calculus 2 : Graphing Vectors

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?

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?

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?

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?

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?

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?

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?

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?

Explanation:

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

Example Question #13 : Graphing Vectors

In which quadrant does the vector  terminate from the origin?

Explanation:

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

Example Question #14 : Graphing Vectors

In which quadrant does the vector  terminate from the origin?