Ra A- 25a- 12ý, and B 2.02 15ý Express A-Bin unit vector notation Express your answer using two significant figures. Express your answer in terms of the unit vectors z and y. Submit Renuest Answer Part B Express B-A in unit vector notation Express your answer using two significant figures. Express your answer in terms of the unit vectors and y. VO AL B-A Pearson

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Chapter1: Units, Trigonometry. And Vectors
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## Vector Operations in Unit Vector Notation

### Given Vectors
- **Vector A:** \( \vec{A} = 25\hat{i} - 12\hat{j} \)
- **Vector B:** \( \vec{B} = 20\hat{i} + 15\hat{j} \)

### Task
1. **Express \( \vec{A} - \vec{B} \) in unit vector notation.**
   - **Instructions:**
     - Express your answer using two significant figures.
     - Express your answer in terms of the unit vectors \( \hat{i} \) and \( \hat{j} \).

     \[
     \vec{A} - \vec{B} = (\text{Enter your calculations here})
     \]

     **Input Box:** (provided for answer submission)
    
     **Submit Button:** (to submit the answer)
    
     **Request Answer Button:** (to get the correct answer)

2. **Express \( \vec{B} - \vec{A} \) in unit vector notation.**
   - **Instructions:**
     - Express your answer using two significant figures.
     - Express your answer in terms of the unit vectors \( \hat{i} \) and \( \hat{j} \).

     \[
     \vec{B} - \vec{A} = (\text{Enter your calculations here})
     \]

     **Input Box:** (provided for answer submission)
  
     **Submit Button:** (to submit the answer)
  
     **Request Answer Button:** (to get the correct answer)

### Graphs or Diagrams
There are no graphs or diagrams provided in this task. The operations are purely algebraic and involve manipulating the given vector components according to the principles of vector addition and subtraction. 

### Additional Notes
- Ensure to respect the order of operations when performing vector subtraction.
- Verify each component individually before combining them into the final unit vector notation.
  
**Provided by:** Pearson

This educational task is designed to test your understanding of vector operations in physics and mathematics, enhancing your skills in dealing with vector notations and component-wise operations.
Transcribed Image Text:## Vector Operations in Unit Vector Notation ### Given Vectors - **Vector A:** \( \vec{A} = 25\hat{i} - 12\hat{j} \) - **Vector B:** \( \vec{B} = 20\hat{i} + 15\hat{j} \) ### Task 1. **Express \( \vec{A} - \vec{B} \) in unit vector notation.** - **Instructions:** - Express your answer using two significant figures. - Express your answer in terms of the unit vectors \( \hat{i} \) and \( \hat{j} \). \[ \vec{A} - \vec{B} = (\text{Enter your calculations here}) \] **Input Box:** (provided for answer submission) **Submit Button:** (to submit the answer) **Request Answer Button:** (to get the correct answer) 2. **Express \( \vec{B} - \vec{A} \) in unit vector notation.** - **Instructions:** - Express your answer using two significant figures. - Express your answer in terms of the unit vectors \( \hat{i} \) and \( \hat{j} \). \[ \vec{B} - \vec{A} = (\text{Enter your calculations here}) \] **Input Box:** (provided for answer submission) **Submit Button:** (to submit the answer) **Request Answer Button:** (to get the correct answer) ### Graphs or Diagrams There are no graphs or diagrams provided in this task. The operations are purely algebraic and involve manipulating the given vector components according to the principles of vector addition and subtraction. ### Additional Notes - Ensure to respect the order of operations when performing vector subtraction. - Verify each component individually before combining them into the final unit vector notation. **Provided by:** Pearson This educational task is designed to test your understanding of vector operations in physics and mathematics, enhancing your skills in dealing with vector notations and component-wise operations.
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