We know position vector of a point (x, y) is given by, where and are unit vectors in X and Y directions.

So, position vector of (5, –3) is

Given A = (4, –1) and let the coordinates of B = (x, y)

Let position vectors of points A and B be and respectively.

We also have.

Recall the vector is given by

But, it is given that

By comparing both sides, we get x – 4 = 5 and y + 1 = –3

⇒ x = 5 + 4 = 9

and y = –3 – 1 = –4

So, x = 9 and y = –4

Thus, coordinates of point B are (9, –4).