Vector V₁ is 6.6 units long and points along the negative z axis. Vector V₂ is 8.2 units long and points at 30° to the positive z axis. Part A What are the x and y components of vector V₁? Express your answers using two significant figures. Enter your answers numerically separated by a comma. Viz. Viy= -6.6,0 units Submit Previous Answers Part B What are the art and y components of vector V₂? Express your answers using two significant figures. Enter your answers numerically separated by a comma. V22. Vay 7.1.4.1 units Submit Correct Previous Answers

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Course: Physics 1A - Attempt 1
#### Problem 3.06

---

#### Vector Problem Description:
Vector **V₁** is 6.6 units long and points along the negative z-axis. Vector **V₂** is 8.2 units long and points at 30° to the positive x-axis.

---

#### Part A
**Question:** What are the x and y components of vector **V₁**?

*Express your answers using two significant figures. Enter your answers numerically separated by a comma.*

**Answer 1:**
\[ V_{1x}, V_{1y} = -6.6, 0 \, \text{units} \]

**Feedback:** 
- Correct

---

#### Part B
**Question:** What are the x and y components of vector **V₂**?

*Express your answers using two significant figures. Enter your answers numerically separated by a comma.*

**Answer 2:**
\[ V_{2x}, V_{2y} = 7.1, 4.1 \, \text{units} \]

**Feedback:**
- Correct
- Important: If you use this answer in later parts, use the full unrounded value in your calculations.

---

#### Notes:
- Part C is not displayed in the provided image.
- Always ensure to use the exact unrounded values in any subsequent calculations to maintain accuracy.

---

### Additional Instructional Support:
- Refer to the course syllabus in the left-hand navigation for detailed explanations on vector components.
- Explore the study area for additional examples and practice problems on vector decomposition.
- Utilize the Document Sharing section for supplementary materials shared by the instructor.

---
Transcribed Image Text:### Course: Physics 1A - Attempt 1 #### Problem 3.06 --- #### Vector Problem Description: Vector **V₁** is 6.6 units long and points along the negative z-axis. Vector **V₂** is 8.2 units long and points at 30° to the positive x-axis. --- #### Part A **Question:** What are the x and y components of vector **V₁**? *Express your answers using two significant figures. Enter your answers numerically separated by a comma.* **Answer 1:** \[ V_{1x}, V_{1y} = -6.6, 0 \, \text{units} \] **Feedback:** - Correct --- #### Part B **Question:** What are the x and y components of vector **V₂**? *Express your answers using two significant figures. Enter your answers numerically separated by a comma.* **Answer 2:** \[ V_{2x}, V_{2y} = 7.1, 4.1 \, \text{units} \] **Feedback:** - Correct - Important: If you use this answer in later parts, use the full unrounded value in your calculations. --- #### Notes: - Part C is not displayed in the provided image. - Always ensure to use the exact unrounded values in any subsequent calculations to maintain accuracy. --- ### Additional Instructional Support: - Refer to the course syllabus in the left-hand navigation for detailed explanations on vector components. - Explore the study area for additional examples and practice problems on vector decomposition. - Utilize the Document Sharing section for supplementary materials shared by the instructor. ---
**Course Title:** Homework 1A - Attempt 1

**Problem 3.06**

### Problem Description:
**Vector \(\vec{V}_1\)** is 6.6 units long and points along the negative \(x\) axis. **Vector \(\vec{V}_2\)** is 8.2 units long and points at 30° to the positive \(x\) axis.

---

### Part C
**Task:** Determine the magnitude of the sum \(\vec{V}_1 + \vec{V}_2\).

**Instructions:** Express your answer using two significant figures.

**Input Field:**

\[
|\vec{V}_1 + \vec{V}_2| = \_\_\_\_\_\_\_ \text{ units}
\]

**Buttons for Input:**
- Keyboard for typing numbers
- Trigonometric functions or symbol entry options
- Mathematical symbols and operations available for convenience 

**Status:** Incorrect; Try Again; One attempt remaining

**Action Button:** 
- Submit 
- Previous Answers
- Request Answer

---

### Part D
**Task:** Determine the angle of the sum \(\vec{V}_1 + \vec{V}_2\).

**Instructions:** Express your answer using two significant figures.

**Input Field:**

\[
\theta = \_\_\_\_\_\_\_^\circ \text{ counterclockwise from the positive } x\text{-axis}
\]

**Buttons for Input:**
- Keyboard for typing numbers
- Trigonometric functions or symbol entry options
- Mathematical symbols and operations available for convenience 

**Action Button:** 
- Submit 
- Previous Answers
- Request Answer

---

### Visual/Graphical Explanation:

Unfortunately, there are no graphs or diagrams provided in the problem statement. However, students are typically expected to visualize the vectors themselves. Here is a brief guide on how to do it:

1. **Vector \(\vec{V}_1\) Visualization:**
   - It is 6.6 units long.
   - It points entirely along the negative \(x\) axis.

2. **Vector \(\vec{V}_2\) Visualization:**
   - It is 8.2 units long.
   - It forms an angle of 30° with the positive \(x\) axis.

**Combining Vectors:**
- Calculate the \(x\) and \(y\)
Transcribed Image Text:**Course Title:** Homework 1A - Attempt 1 **Problem 3.06** ### Problem Description: **Vector \(\vec{V}_1\)** is 6.6 units long and points along the negative \(x\) axis. **Vector \(\vec{V}_2\)** is 8.2 units long and points at 30° to the positive \(x\) axis. --- ### Part C **Task:** Determine the magnitude of the sum \(\vec{V}_1 + \vec{V}_2\). **Instructions:** Express your answer using two significant figures. **Input Field:** \[ |\vec{V}_1 + \vec{V}_2| = \_\_\_\_\_\_\_ \text{ units} \] **Buttons for Input:** - Keyboard for typing numbers - Trigonometric functions or symbol entry options - Mathematical symbols and operations available for convenience **Status:** Incorrect; Try Again; One attempt remaining **Action Button:** - Submit - Previous Answers - Request Answer --- ### Part D **Task:** Determine the angle of the sum \(\vec{V}_1 + \vec{V}_2\). **Instructions:** Express your answer using two significant figures. **Input Field:** \[ \theta = \_\_\_\_\_\_\_^\circ \text{ counterclockwise from the positive } x\text{-axis} \] **Buttons for Input:** - Keyboard for typing numbers - Trigonometric functions or symbol entry options - Mathematical symbols and operations available for convenience **Action Button:** - Submit - Previous Answers - Request Answer --- ### Visual/Graphical Explanation: Unfortunately, there are no graphs or diagrams provided in the problem statement. However, students are typically expected to visualize the vectors themselves. Here is a brief guide on how to do it: 1. **Vector \(\vec{V}_1\) Visualization:** - It is 6.6 units long. - It points entirely along the negative \(x\) axis. 2. **Vector \(\vec{V}_2\) Visualization:** - It is 8.2 units long. - It forms an angle of 30° with the positive \(x\) axis. **Combining Vectors:** - Calculate the \(x\) and \(y\)
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