An object undergoes three consecutive displacements given by vectors 1 = [3.0 4.0 2.0] cm, 2 = [1.0 7.0 4.0] cm, and 3 = [7.0 4.0 1.0] cm.

a) Find the resultant displacement vector of the object. (2.5 Marks)

b) Find the magnitude of the resultant displacement. (2.5 Marks)

c) If the object was initially located at 0 = [5.0 1.0 2.0] cm, find the final position of the object, f .

d) Find the direction (two angles) and magnitude of f .