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How can you determine if a ray intersects a sphere? The more efficient your solution, the better.

Answer Posted / Virendra Kumar Sharma

There are several methods to check if a ray intersects a sphere. One of the most efficient methods is using the Intersection of a Ray with a Sphere equation: t = (B - A) * (C - A) / 2D + sqrt((A - C)^2 - r^2), where A, B, and C are three consecutive points on the ray, D is their distance, and r is the radius of the sphere. This method can be further optimized by computing squares instead of using square roots or by early termination when the distance between the ray and the sphere exceeds the diameter.

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