Said that we have two points (P1, P2) that form a line, and 3 points (S1,S2,S3) that form a triangle, how would we calculate the position X and Y of the point resulting from the intersection of the line and the plane containing the triangle?

Said that we have two points (P1, P2) that form a line, and 3 points (S1,S2,S3) that form a triangle, how would we calculate the position X and Y of the point resulting from the intersection of the line and the plane containing the triangle?

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in the 3D-coordinate system (x,y,z):