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
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.
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe12d47a-f1d5-457f-830c-a20bf48d1969%2F2505ed90-03f6-4fd1-a425-4dd559952a70%2Ftjbd22g_processed.png&w=3840&q=75)
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 \(y\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe12d47a-f1d5-457f-830c-a20bf48d1969%2F2505ed90-03f6-4fd1-a425-4dd559952a70%2Fr4bxsq4_processed.png&w=3840&q=75)
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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