In the axes below represent the vectors Ā = (2,0)and B = (-3,0). Then add the two vectors geometrically (tip to tail method) and algebraically. (Make sure to label each vector and the final result) x
In the axes below represent the vectors Ā = (2,0)and B = (-3,0). Then add the two vectors geometrically (tip to tail method) and algebraically. (Make sure to label each vector and the final result) x
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![### Vector Addition Exercise
2. On the axes below, represent the vectors \(\vec{A} = (2,0)\) and \(\vec{B} = (-3,0)\). Then add the two vectors geometrically (tip to tail method) and algebraically. **(Make sure to label each vector and the final result)**
#### Instructions:
1. **Geometric Method (Tip to Tail)**
- Draw vector \(\vec{A}\) starting from the origin (0,0).
- Since \(\vec{A} = (2,0)\), it should extend 2 units to the right along the x-axis.
- Next, draw vector \(\vec{B}\) from the tip of \(\vec{A}\).
- \(\vec{B} = (-3,0)\) means it should extend 3 units to the left along the x-axis.
- Finally, draw the resultant vector \(\vec{R}\) from the origin to the tip of \(\vec{B}\).
2. **Algebraic Method**
- Adding the vectors algebraically:
\[
\vec{A} + \vec{B} = (2, 0) + (-3, 0) = (2 - 3, 0) = (-1, 0)
\]
- So, the resultant vector \(\vec{R}\) is \((-1, 0)\).
#### Graph Explanation:
- The graph has labeled x and y axes.
- The x-axis (horizontal) and the y-axis (vertical) intersect at the origin (0,0).
- Each square on the grid represents one unit.
### Steps to Complete the Graph:
1. **Draw \(\vec{A}\) from the origin:**
- It starts at (0, 0) and extends to (2, 0).
2. **Draw \(\vec{B}\) from the tip of \(\vec{A}\):**
- Starting at (2, 0), move 3 units to the left, ending at (-1, 0).
3. **Draw \(\vec{R}\) from the origin to the endpoint:**
- \(\vec{R}\) extends from (0, 0) to (-1, 0).
Be sure to label:
- \(\vec](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe959c914-a769-4835-81a2-a59c93791598%2F27264de9-4dbf-4ac4-8b53-4f146252a235%2Fuwovsyv_processed.png&w=3840&q=75)
Transcribed Image Text:### Vector Addition Exercise
2. On the axes below, represent the vectors \(\vec{A} = (2,0)\) and \(\vec{B} = (-3,0)\). Then add the two vectors geometrically (tip to tail method) and algebraically. **(Make sure to label each vector and the final result)**
#### Instructions:
1. **Geometric Method (Tip to Tail)**
- Draw vector \(\vec{A}\) starting from the origin (0,0).
- Since \(\vec{A} = (2,0)\), it should extend 2 units to the right along the x-axis.
- Next, draw vector \(\vec{B}\) from the tip of \(\vec{A}\).
- \(\vec{B} = (-3,0)\) means it should extend 3 units to the left along the x-axis.
- Finally, draw the resultant vector \(\vec{R}\) from the origin to the tip of \(\vec{B}\).
2. **Algebraic Method**
- Adding the vectors algebraically:
\[
\vec{A} + \vec{B} = (2, 0) + (-3, 0) = (2 - 3, 0) = (-1, 0)
\]
- So, the resultant vector \(\vec{R}\) is \((-1, 0)\).
#### Graph Explanation:
- The graph has labeled x and y axes.
- The x-axis (horizontal) and the y-axis (vertical) intersect at the origin (0,0).
- Each square on the grid represents one unit.
### Steps to Complete the Graph:
1. **Draw \(\vec{A}\) from the origin:**
- It starts at (0, 0) and extends to (2, 0).
2. **Draw \(\vec{B}\) from the tip of \(\vec{A}\):**
- Starting at (2, 0), move 3 units to the left, ending at (-1, 0).
3. **Draw \(\vec{R}\) from the origin to the endpoint:**
- \(\vec{R}\) extends from (0, 0) to (-1, 0).
Be sure to label:
- \(\vec
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