Write the vector in the form⟨a,b⟩.see image attached. Thanks Sure, here's a transcription suitable for an Educational website:---### Write the vector in the form $\langle a,b\rangle $![Vector Diagram](image-link) This image contains a diagram of a vector $\mathbf{v}$ in the standard Cartesian coordinate system.**Diagram Explanation:**- A 2D Cartesian coordinate system is depicted with the x-axis horizontal and the y-axis vertical.- The vector $\mathbf{v}$ is shown originating from the origin (0,0) and pointing in the direction of 140° counterclockwise from the positive x-axis.- The magnitude of the vector $\mathbf{v}$ is 3 units.#### Task:Convert the given vector $\mathbf{v}$ to its component form $\langle a, b \rangle$.#### Instructions:1. To find the components of the vector $\mathbf{v}$, use the formulas: \[ a = 3 \cos(140^\circ) \] \[ b = 3 \sin(140^\circ) \]2. Calculate the values of $a$ and $b$.3. Simplify your answers without rounding until the final step.4. Round the final answers to four decimal places if needed.```The vector is $\langle \text{____} , \text{____} \rangle$.```(Simplify your answer. Do not round until the final answer. Then round to four decimal places as needed.)---Feel free to fill in the image link and the calculated values for a complete educational resource.

Answered: Write the vector in the form Ka,b) 140°…

Write the vector in the form Ka,b) 140° The vector is ). (Simplify your answer. Do not round until the final answer. Then round to four decimal places as needed.) 3.

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Question

Write the vector in the form

⟨a,b⟩.

see image attached. Thanks

Sure, here's a transcription suitable for an Educational website:

---

### Write the vector in the form $\langle a,b\rangle $

![Vector Diagram](image-link)

This image contains a diagram of a vector $\mathbf{v}$ in the standard Cartesian coordinate system.

**Diagram Explanation:**
- A 2D Cartesian coordinate system is depicted with the x-axis horizontal and the y-axis vertical.
- The vector $\mathbf{v}$ is shown originating from the origin (0,0) and pointing in the direction of 140° counterclockwise from the positive x-axis.
- The magnitude of the vector $\mathbf{v}$ is 3 units.

#### Task:

Convert the given vector $\mathbf{v}$ to its component form $\langle a, b \rangle$.

#### Instructions:

1. To find the components of the vector $\mathbf{v}$, use the formulas:
\[
a = 3 \cos(140^\circ)
\]
\[
b = 3 \sin(140^\circ)
\]

2. Calculate the values of $a$ and $b$.
3. Simplify your answers without rounding until the final step.
4. Round the final answers to four decimal places if needed.

```
The vector is $\langle \text{____} , \text{____} \rangle$.
```

(Simplify your answer. Do not round until the final answer. Then round to four decimal places as needed.)

---

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