What are the barycentric coordinates and ray parameter, Basic Computer Science

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What are the barycentric coordinates and ray parameter

1. What are the ray parameters of the intersection points between ray (1, 1, 1)+ t(-1, -1, -1) and the sphere centered at the origin with radius 1? Note: this is a good debugging case.

2. What are the barycentric coordinates and ray parameter where the ray (1, 1, 1) + t(-1, -1, -1) hits the triangle with vertices (1, 0, 0), (0, 1, 0), and (0, 0, 1)? Note: this is a good debugging case.

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