Up until now, you have used the geometric representation of vectors. Next, we will consider that a vector is given in the xy- coordinate plane and discuss expression of a vector using the coordinates of its initial and terminal points.

1. Consider the following vectors, which are on the xy-coordinate system. Move each vector so that their initial points are at the origin

(a) How do you differentiate one vector from another?
(b) The initial point of any of those vectors is (0, 0). How do you express their terminal point?

2. If is the vector with initial point A = (1, 2) and the terminal point (3, 4) what will its terminal point be if its initial point is moved to the origin?
3. If is a vector with initial point at origin (0, 0) and terminal point at (2, 5), then how do you expressin terms of the coordinates (2, 0) and (0, 5)?