What is a Vector?

Any set of objects with addition, subtraction and multiplication is an algebra. Any such object requiring a fixed number of symbols to describe itself is called a vector. These are informal definitions. A collection of such vectors with operations such as + or - is called a Vector Algebra. 

 

 

 Here : is the start point or the pivot . 

 There : is the finish point or the endpoint . 

 Select any two symbols and you can create a tuple namely the left CurlyBracket ' { ' and the right Curly Bracket ' } ' for example: 

 {a,b} or {c,d} 

 Now let's Add these two vectors: 

 

 {a,b} + {c,d} = {a + c,b + d}; 

 

 

 

 

 

 Operator : any symbol in mathematics, that indicates an operation to be performed e.g. + 

 ' + ' : Addition Operator of the form ◧ op ◨ 

 ◧ + ◨ 

 ◧: Left Operand of an Operator 

 ◨: Right Operand of an Operator 

 ' = ': Identity Operator of the form ◧ op ◨ 

 ' , ' : Comma or Separator Operator of the form ◧ op ◨ 

 ' { } ': Brackets or Grouping or Bracket Operator , grouping the enclosed circle between the right and left parenthesis