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They are used in a types of mathematics and can represent anything with a direction and a magnituted. Examples are temperature changes, directions you move, but many examples are far more abstract. In fact every ordered pair of numbers, (a,b) can be thought of as a vector with the origin (0,0) being one point and (a,b) being the other end of the vector. We should can the point tip and tail of the vector. However, remember, the line segment with an arrow is just a representation of the vector, it is not the vector itself.

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Q: What are the importance of vector in mathematics?
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