I am very confused about the problem presented below and would appreciate any help in visualization or pointing me in the direction of an article or equation that will set me on the right path. I can't seem to get past the initial set up of the problem at this point and am quite frustrated at the moment. 1. The problem statement, all variables and given/known data Using a point B, a vector H, and a radius R in 3D space, define a "pill" as the region within distance R of the line segment between B and B+H. The pill will be a cylinder of radius R joined with spheres centered at each of its endpoints. A second point P and vector V define the motion of a particle: it begins at P at time t=0 and reaches P+V by t=1. Calculate the time t (if it is defined and between zero and one) at which the particle first intersects the pill. This should be an analytic solution, not a high-level algorithm.