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