Find the coordinates of the vector AB if A (2; -5), B (-3; 4).

Given:

AB is a vector;

A (2; -5); B (-3; 4).

Vector AB (x; y) -?

Solution:

Let the vector AB have the beginning point A (x1; y1), and the end point B (x2; y2). The coordinates of the vector AB will be numbers:

x = x2 – x1;

y = y2 – y1;

We will put the coordinates of the vector next to the letter designation of the vector.

Then the coordinates of the vector AB are equal:

x = -3 – 2 = -5;

y = 4 – (-5) = 4 + 9 = 13;

This means that the vector AB has coordinates AB (-5; 13);

Answer: AB (-5; 13).