(Linear Algebra)8.5.5Pls help thanks Find the area of the triangle with the given vertices. Use the fact that the area of the triangle having **u** and **v** as adjacent sides is given by \( A = \frac{1}{2} ||\mathbf{u} \times \mathbf{v}|| \).Vertices: \( (0, 3, 1) \), \( (0, 2, 1) \), \( (-1, 3, 0) \)\( A = \) [Input Box] [Incorrect Mark] **Explanation of the Diagram:**- The problem provides the coordinates of the vertices of a triangle in three-dimensional space.- It asks to calculate the area using the given formula, which involves finding the cross product of vectors **u** and **v** formed by these points and then taking half of the magnitude of that cross product.- There is an input box provided for entering the calculated area value, and a red "X" mark indicating that the previously entered answer is incorrect.

Answered: Image /qna-images/answer/55a822d0-16b1-4e54-8a4d-1c38a83c0c3e.jpg

Answered: Find the area of the triangle with the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Question

100%

(Linear Algebra)

5.5

Pls help thanks

Find the area of the triangle with the given vertices. Use the fact that the area of the triangle having **u** and **v** as adjacent sides is given by \( A = \frac{1}{2} ||\mathbf{u} \times \mathbf{v}|| \).

Vertices: \( (0, 3, 1) \), \( (0, 2, 1) \), \( (-1, 3, 0) \)

\( A = \) [Input Box] [Incorrect Mark]

**Explanation of the Diagram:**

- The problem provides the coordinates of the vertices of a triangle in three-dimensional space.
- It asks to calculate the area using the given formula, which involves finding the cross product of vectors **u** and **v** formed by these points and then taking half of the magnitude of that cross product.
- There is an input box provided for entering the calculated area value, and a red "X" mark indicating that the previously entered answer is incorrect.

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

Expert Solution