represents the segment AB, and the midpoint of AB is (2,1), find A and B.This is one of the problems which is easier solved by utilizing the properties of vectors.
The other solution is the conventional distance formula to solve for the coordinates of A and B but this actually takes longer because there are four unknowns in this case. At least two simultaneous equations may be required.
On the other hand, the vector method hinges on the vector property that its components represent the difference between the coordinates at endpoints. With this, the coordinates of A and B can be solved using a simple linear equation, one unknown at a time.
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