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:

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