Examples of Hyperspaces

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  .