Complete the following tasks: (a) Represent plane P containing the points (2,0, 1), (1, 1, 1), and (1, 1, 0) as a set of points {5 I 5 ~11; = c}, where 17v is a vector orthogonal to the plane, and c = p v VT; for some point p in the plane. (b) Find the intersection of plane P with the line (1, 1,0) + t(2, 1, 1), where t E R. (c) The intersection of plane P with the plane x + y + 22 = 4 is a line. Characterize this line in the form p + tVTI, where p is a point on the line, t 6 IR, and 17x? is an arrow parallel to the line