Use determinant to calculate the area of a parallelogram with the following vertices: A = [4,4] B = [10, 12] C = [13, 8] D = [7,0] Enter your answer: 14 12- 10 8 6 4 2 0 -2 2 A 6 D 8 B 10 12 C 14
Use determinant to calculate the area of a parallelogram with the following vertices: A = [4,4] B = [10, 12] C = [13, 8] D = [7,0] Enter your answer: 14 12- 10 8 6 4 2 0 -2 2 A 6 D 8 B 10 12 C 14
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![**Exercise: Calculate the Area of a Parallelogram Using Determinants**
Use the determinant to calculate the area of a parallelogram with the following vertices:
\[ A = [4, 4] \]
\[ B = [10, 12] \]
\[ C = [13, 8] \]
\[ D = [7, 0] \]
**Question:** Enter your answer:
[Answer Box]
**Graph Explanation:**
The graph on the right illustrates a parallelogram plotted on a coordinate plane. The vertices are clearly marked and labeled:
- **A** at (4, 4)
- **B** at (10, 12)
- **C** at (13, 8)
- **D** at (7, 0)
The parallelogram is shaded in orange and outlined in red, making its shape and position easy to identify. The gridlines provide a reference to understand the scale and position of each vertex. The x-axis ranges from -2 to 14, and the y-axis ranges from -2 to 14.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb493ecdd-cbdc-400d-a05a-de2010eb2d52%2Facd315b8-d8b3-4779-962b-1da10d8c2ace%2Fwwwoa6_processed.png&w=3840&q=75)
Transcribed Image Text:**Exercise: Calculate the Area of a Parallelogram Using Determinants**
Use the determinant to calculate the area of a parallelogram with the following vertices:
\[ A = [4, 4] \]
\[ B = [10, 12] \]
\[ C = [13, 8] \]
\[ D = [7, 0] \]
**Question:** Enter your answer:
[Answer Box]
**Graph Explanation:**
The graph on the right illustrates a parallelogram plotted on a coordinate plane. The vertices are clearly marked and labeled:
- **A** at (4, 4)
- **B** at (10, 12)
- **C** at (13, 8)
- **D** at (7, 0)
The parallelogram is shaded in orange and outlined in red, making its shape and position easy to identify. The gridlines provide a reference to understand the scale and position of each vertex. The x-axis ranges from -2 to 14, and the y-axis ranges from -2 to 14.
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