Question 5: (15 points) (Barycentric Coordinates) Given three points A, B, and C and two parameters s and t, 0s, t 1. (i)(5 points) Using parameter t, define a point Q between points A, and B along the line from A to B. Then use the second parameters, to define a line between Q and C. Now argue that (ii) (5 points) all the points inside the triangle are of the form aA + PB + yC and show that: a + B + y = 1. (iii) (5 points) Also, argue (explain) that a, , or y will all be positive for all points inside the triangle ABC. Why, explain? BO U