Understanding Vector AB: How to Calculate and Represent Displacement

Given the points A(x1,y1) and B(x1,y1) the vector a with representation AB is

The vector AB is the displacement vector that represents the direction and magnitude needed to go from point A to point B

The vector AB is the displacement vector that represents the direction and magnitude needed to go from point A to point B. To find the representation of vector AB, we need to calculate the difference between the x-coordinates (x2 – x1) and the difference between the y-coordinates (y2 – y1).

So, the representation of vector AB can be written as:

AB = (x2 – x1, y2 – y1)

In other words, the x-component of vector AB is (x2 – x1) and the y-component of vector AB is (y2 – y1).

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