Geometric algebra, what is it? In the School, study Algebra and Geometry separately.
In Algebra, the numbers are replaced with letters in the very first step and an attempt is made to manipulate only the symbols. Typically, combinations of symbols and operations are made.
In the course of Stereometry solve problems associated with three-dimensional figures. Rarely, when the proofs or solutions of a problem are based on manipulating pieces of figure volumes.
In real life, for example, a carpenter, locksmith or any other craftsman operates only with three-dimensional things.
Is it possible to combine a symbolic record and manipulation with three-dimensional objects and objects of greater dimension?
Yes, it is possible.
William Kingdon Clifford created an Algebra that can manipulate multidimensional objects.
In order to better represent this algebra, let’s do spawn of Ender Crystal in Minecraft. This is a very fascinating adventure search for the fortress with a portal to the parallel world, killing the dragon and returning with ender_crystal. But we will shorten this long adventure in order to engage in Mathematics.