Find the length of the vector AB if A (-4; 2); B (1; -3).

Consider the plane on which the coordinate system is set, that is, the coordinate plane, where points A and B have the following coordinates: A (-4; 2) and B (1; -3). Vector AB is represented by a black arrow, which is directed towards point B.
In the task, you need to find the length of the vector AB, which we will do in the future. Let’s use the formula for calculating the distance between two points A (xa; ya) and B (xb; yb) in space: AB = √ ((xb – xa) ² + (yb – ya) ²). We have: AB = √ ((1 – (-4)) ² + (-3 – 2) ²) = √ (5² + 5²) = √ (25 + 25) = √ (25 * 2) = 5√ (2 ).
Answer: 5√ (2).