ã = (–3, −5) and 7 = (1,4). Represent a + b using the parallelogram method.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Can someone please graph this with a marker? plot the points please
![**Vector Addition Using the Parallelogram Method**
In this exercise, we will learn how to add two vectors, \(\vec{a}\) and \(\vec{b}\), using the parallelogram method. We are given the vectors:
\[
\vec{a} = \langle -3, -5 \rangle \quad \text{and} \quad \vec{b} = \langle 1, 4 \rangle
\]
### Objective
Represent \(\vec{a} + \vec{b}\) using the parallelogram method.
### Instructions
1. **Use the Vector Tool:**
- Draw the vectors \(\vec{a}\) and \(\vec{b}\) on the graph.
- Complete the parallelogram method.
- Draw \(\vec{a} + \vec{b}\).
2. **Steps to Use the Vector Tool:**
- Select the initial point of the vector.
- Select the terminal point of the vector.
### Graph Explanation
The graph below provides a grid with x and y axes, ranging from -10 to 10 on both axes. It includes options to move, select vectors, undo, redo, and reset the vectors drawn on the graph.
![Graph Grid]
The graph grid is a Cartesian coordinate plane with horizontal and vertical axes marked from -10 to 10. The x-axis runs horizontally, while the y-axis runs vertically. Both axes intersect at the origin (0,0).
**Drawing Vectors:**
1. **Draw \(\vec{a}\):**
- To represent \(\vec{a} = \langle -3, -5 \rangle\), start at the origin (0,0).
- Move left by 3 units and down by 5 units.
- The terminal point of \(\vec{a}\) will be at (-3, -5).
2. **Draw \(\vec{b}\):**
- To represent \(\vec{b} = \langle 1, 4 \rangle\), start at the origin (0,0).
- Move right by 1 unit and up by 4 units.
- The terminal point of \(\vec{b}\) will be at (1, 4).
3. **Complete the Parallelogram:**
- Draw lines parallel](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7158492-0b6e-497d-ae60-d6a156638c9a%2F046d1d48-73d6-40fa-9223-36e3c6a9bd46%2Ffdorw1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Vector Addition Using the Parallelogram Method**
In this exercise, we will learn how to add two vectors, \(\vec{a}\) and \(\vec{b}\), using the parallelogram method. We are given the vectors:
\[
\vec{a} = \langle -3, -5 \rangle \quad \text{and} \quad \vec{b} = \langle 1, 4 \rangle
\]
### Objective
Represent \(\vec{a} + \vec{b}\) using the parallelogram method.
### Instructions
1. **Use the Vector Tool:**
- Draw the vectors \(\vec{a}\) and \(\vec{b}\) on the graph.
- Complete the parallelogram method.
- Draw \(\vec{a} + \vec{b}\).
2. **Steps to Use the Vector Tool:**
- Select the initial point of the vector.
- Select the terminal point of the vector.
### Graph Explanation
The graph below provides a grid with x and y axes, ranging from -10 to 10 on both axes. It includes options to move, select vectors, undo, redo, and reset the vectors drawn on the graph.
![Graph Grid]
The graph grid is a Cartesian coordinate plane with horizontal and vertical axes marked from -10 to 10. The x-axis runs horizontally, while the y-axis runs vertically. Both axes intersect at the origin (0,0).
**Drawing Vectors:**
1. **Draw \(\vec{a}\):**
- To represent \(\vec{a} = \langle -3, -5 \rangle\), start at the origin (0,0).
- Move left by 3 units and down by 5 units.
- The terminal point of \(\vec{a}\) will be at (-3, -5).
2. **Draw \(\vec{b}\):**
- To represent \(\vec{b} = \langle 1, 4 \rangle\), start at the origin (0,0).
- Move right by 1 unit and up by 4 units.
- The terminal point of \(\vec{b}\) will be at (1, 4).
3. **Complete the Parallelogram:**
- Draw lines parallel
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