I need to find the y coordinate of a given point on a triangle in 3D space. If I'm not mistaken the equation for a plane is: $$ \left|\begin{matrix}x-A_x & y -A_y & z-A_ z \\ B_x-A_x & B_y -A_y & B_z-A_ z\\ C_x-A_x & C_y -A_y & C_z-A_ z\end{matrix}\right|=0. $$
So if I have the x and the z coordinate of a point on the plane and three points A, B and C which is on the plane how do I calculate the y of my coordinate?
Basically as far as I can tell, what I'm trying to achieve is to isolate the y coordinate. (Resulting in a an equation of the form: y = ...)
Can somebody help me out here? Thanks
I have found an answer where someone achieves basically what I want but for the z coordinate: https://math.stackexchange.com/a/851752/684967
Also extra points for pointing me in the direction of how to calculate this would be much appreciated. I would love to understand it! :)
(Here I'm talking an explanation of how to calulate the above. I'ts all greek to me)