Hi. I'm studying collision detection by the book "Real Time Collision Detection"
And I have a question about the math of checking if a point lies in a circle through 3d points in 2D.
Actually, I understand the principle of the equation or algorithm. However, the determinant expression
is hard to understand for me, especially converting the second expression to third expression.
I know the row replacement in the determinant doesn't change the value of the determinant. So, I have a grasp of converting the first expression to second expression.
However, I can't tell the second conversion, on the third column.
How is it possible
I will appreciate you ahead if you let me know this.
You can check this equation in the wikipedia https://en.wikipedia.org/wiki/Delaunay_triangulation