Hopefully someone might be able to give me some insight into this problem.
I'am trying to find the point in 3D space where a line intersects with an ellipsoid. Shown below
Now i have points A (xyz), B(x1,y1,z1) and C (x2,y2,z2) already.
The ellipsoid is a scaled sphere with a known radius, i,e 10mm for each axis and scaled by say 1.1, 1.6, 2 for the given xyz coordinates.
I just wanted to know whether it was actually possible to calculate the position of Tau i.e its actual 3D coordinates.
Any help is appreciated.