11. Given the (x, y) coordinates of the three vertices of a 2D triangle, explain why the area is given by 12 хо X1 X2 Yo Y1 Y2. 1 1 1
11. Given the (x, y) coordinates of the three vertices of a 2D triangle, explain why the area is given by 12 хо X1 X2 Yo Y1 Y2. 1 1 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![**Question 11**: Given the \((x, y)\) coordinates of the three vertices of a 2D triangle, explain why the area is given by
\[
\frac{1}{2}
\begin{vmatrix}
x_0 & x_1 & x_2 \\
y_0 & y_1 & y_2 \\
1 & 1 & 1
\end{vmatrix}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc0bdbfb-cbbb-4d71-bbaa-3a4295dd4b19%2F66cf0e01-d4ff-4307-b647-2904f0d27dec%2F2gpns0m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 11**: Given the \((x, y)\) coordinates of the three vertices of a 2D triangle, explain why the area is given by
\[
\frac{1}{2}
\begin{vmatrix}
x_0 & x_1 & x_2 \\
y_0 & y_1 & y_2 \\
1 & 1 & 1
\end{vmatrix}
\]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
