How to find out the intersection point where a new sphere lands on other spheres with the same radius $r$. How can we find out the intersection point if we know the path of the incoming sphere as a straight line with known slope $m$, $y$-intercept $c$ and the coordinates of all other spheres on the plane? Using Line and circle intersection equation, I could solve the intersection point where a circular disc lands on another in two dimension. Now, I need to convert this two dimensional problem to three dimension by using spheres in place of circular discs as shown in Figure. Please suggest whether a simple line and sphere equation can solve my problem or I need to use any other method to solve the intersection point of a new incoming sphere with one of the many other spheres.
2026-04-01 12:46:39.1775047599
Soving intersection point for a sphere and sphere
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