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In both mathematics and physics, a vector is a fundamental concept that represents both a quantity and a direction. ### In Mathematics: 1. **Definition**: A vector is an ordered collection of numbers, which are called components. In a more formal sense, a vector can be represented as an arrow in a specific space (like 2D or 3D), where its length denotes the magnitude and the direction of the arrow indicates the direction of the vector.

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  1. Abstract algebra
  2. Algebra
  3. Fields of mathematics
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