Problem (5) (HARD) Let 13 and (j denote two 2D vectors. It was found that the line segment, 6 joining 13. and C? can be written ={FER2|F=A+(1A)C forsome A:0gAg1}. Consider now the triangle T formed by I3 and C: (assumed to be noncollinear and both assumed to be nonzero) and the origin. Write a similar expression as the one above for all the points including, especially, the interior of T. (Rigorous proof is not required but do provide some justication.)