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geometric collision in c++

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Thanks for your suggestion. The intersection between a cone and a sphere is curved area, so lets assume its is a plane (which can't be mathematically defined). So the question is what is the nearest point on the cone, to the sphere centre (presumably perpendicular). Bear in mind that the sphere centre could be outside the sphere or inside, its radius determines whether there is a collision or not. The problem is the desription of the cone before any calculation can begin, which can be found in pdf

The closest point should lie on a line of some sort on the slant of the cone. The cone is defined by an axis vector, apex vertex and angle theta.

How can i find the point on the cone?

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