Four Operations
Four operations are of fundamental importance in quaternion notation.
- + − ÷ ×
In particular it is important to understand that there is a single operation of multiplication, a single operation of division, and a single operations of addition and subtraction. This single multiplication operator can operate on any of the types of mathematical entities. Likewise every kind of entity can be divided, added or subtracted from any other type of entity. Understanding the meaning of the subtraction symbol is critical in quaternion theory, because it leads to an understanding of the concept of a vector.
Read more about this topic: Classical Hamiltonian Quaternions
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