## Vectors

Vectors are quantities characterized by a magnitude and a direction. In two or threedimensional space, a vector is represented by an arrow that has a certain length, an initial reference point (O) and an endpoint (x,y).

## Vector space

A vector is a n-tuple of real number called components of vector. The set of all n-tuples of real numbers **v** = (x_{1},x_{2},...,x_{n}) is called **vector space **n-dimensional or** n-space** and it's denoted by R^{n}.

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- Set
- Equal sets
- Binary operation
- Groups
- Subgroups
- Group cyclic
- Symmetric groups
- Difference between scalar and vector quantity
- Vectors
- Antiderivatives (indefinite integrals)
- Vector space