Let u = 〈−2,5〉 and v = 〈4,3〉.
a. draw a diagram to illustrate v and u, and then find v + u using the parallelogram rule.
b. draw a diagram to illustrate 2v, and then find 2v + u using the parallelogram rule.
c. draw a diagram to illustrate −v, and then find u − v using the parallelogram rule.
d. draw a diagram to illustrate 3v and −3v.
i. how do the magnitudes of these vectors compare to one another and to that of v?
ii. how do the directions of 3v and −3v compare to the direction of v?