(a) Let a = (2, 0) and b = (1, 1). For 0 and consider the vector x = sa + tb. Explain...

(a) Let a = (2, 0) and b = (1, 1). For 0 and consider the vector x = sa + tb. Explain why the vector x lies in the parallelogram determined by a and b. (Hint: It may help to draw a picture.)

(b) Now suppose that a = (2, 2, 1) and b = (0, 3, 2). Describe the set of vectors {x = sa + tb | 0