Here are two examples illustrating the concept of a hyperspace.
Example The set of solutions of the equation
2 + 3 0
forms the line through the origin of which is perpendicular to the vector c (2,3). This line is an example of a hyperspace in .
Example The solutions of the equation
2 + + 0
form the plane through the origin of which is perpendicular to the vector n (2,1,1). This plane is an example of a hyperspace in .