# Mathematics

### Coordinates and vectors in the plane

Scalar product of vectors

Actions on vectors (addition and subtraction of vectors, multiplication of a vector by a number of the vector)

Division of a piece in this regard. Coordinates of the midpoint

The Cartesian coordinates of a point on the plane. Distance between two points

The simplest problems of vector algebra

Transformation of the plane. Motion and its properties

Equation of the ellipse, parabola and hyperbola

Equation of the line and the circle

The concept of the vector. Collinear vectors. Equality of vectors

Similarity transformation. Similar figures. Homothety

Solution of geometrical problems by using the coordinates