### Determine whether **u** and **v** are equivalent. Explain. #### Determine the magnitude and slope of each vector.\[\|u\| = \_\_\_\_\]\[\|v\| = \_\_\_\_\]\[\text{slope}_u = \_\_\_\_\]\[\text{slope}_v = \_\_\_\_\]#### Interpret your results.- ( ) **u** and **v** have the same magnitude and direction so they are equivalent.- ( ) **u** and **v** have the same magnitude but not the same direction so they are not equivalent.- ( ) **u** and **v** have the same direction but not the same magnitude so they are not equivalent.- ( ) **u** and **v** do not have the same magnitude or direction so they are not equivalent.---### Graph RepresentationThe image displays a section from a web assignment on vectors, showing two vectors **u** and **v** plotted on a Cartesian coordinate system (x-y plane).- The vector **u** originates from point **(-4, -5)** and terminates at point **(0, 4)**.- The vector **v** originates from point **(-1, -5)** and terminates at point **(3, 3)**.The graph includes the x and y axes with a scale range visible from approximately -6 to 6 on both axes. Each vector is represented by an arrow indicating direction from the initial point (tail) to the terminal point (head). This graph helps in visualizing the position, direction, and relative magnitudes of vectors **u** and **v**, crucial for calculating their magnitudes and slopes, and determining their equivalency.

Answered: Image /qna-images/answer/bacca4f3-859a-46f4-b417-a4ef842f3b62.jpg

Determine whether u and v are equivalent. Explain. Determine the magnitude and slope of each vector ||u|| = slopeu B slope m Interpret your results. Ou and have the same magnitude and direction so they are equivalent. Ou and v have the same magnitude but not the same direction so they are not equivalent. Ou and have the same direction but not the same magnitude so they are not equivalent. V Ou and do not have the same magnitude or direction so they are not equivalent. P -6 (-4,-3) (-1,-5) 6 y (0,4) V (3,3) 3-31865557#question3904117 X

Determine whether u and v are equivalent. Explain. Determine the magnitude and slope of each vector ||u|| = slopeu B slope m Interpret your results. Ou and have the same magnitude and direction so they are equivalent. Ou and v have the same magnitude but not the same direction so they are not equivalent. Ou and have the same direction but not the same magnitude so they are not equivalent. V Ou and do not have the same magnitude or direction so they are not equivalent. P -6 (-4,-3) (-1,-5) 6 y (0,4) V (3,3) 3-31865557#question3904117 X

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

### Determine whether **u** and **v** are equivalent. Explain.

#### Determine the magnitude and slope of each vector.

\[
\|u\| = \_\_\_\_
\]

\[
\|v\| = \_\_\_\_
\]

\[
\text{slope}_u = \_\_\_\_
\]

\[
\text{slope}_v = \_\_\_\_
\]

#### Interpret your results.

- ( ) **u** and **v** have the same magnitude and direction so they are equivalent.
- ( ) **u** and **v** have the same magnitude but not the same direction so they are not equivalent.
- ( ) **u** and **v** have the same direction but not the same magnitude so they are not equivalent.
- ( ) **u** and **v** do not have the same magnitude or direction so they are not equivalent.

---

### Graph Representation

The image displays a section from a web assignment on vectors, showing two vectors **u** and **v** plotted on a Cartesian coordinate system (x-y plane).

- The vector **u** originates from point **(-4, -5)** and terminates at point **(0, 4)**.
- The vector **v** originates from point **(-1, -5)** and terminates at point **(3, 3)**.

The graph includes the x and y axes with a scale range visible from approximately -6 to 6 on both axes. Each vector is represented by an arrow indicating direction from the initial point (tail) to the terminal point (head).

This graph helps in visualizing the position, direction, and relative magnitudes of vectors **u** and **v**, crucial for calculating their magnitudes and slopes, and determining their equivalency.

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