Question

Difference between cartesian codinateor and rectangular coordinates

Answer 1

Ordered pair : An ordered pair consists of two element , say a and b in which one of them , saying a is designated as the first element and the other as second element .
And
1 ) ordered pair ( 1 , 2 ) and ( 2 , 1 ) are different to each other .
2 ) The set { 1 , 2 } is not a ordered pair.
3 ) ordered pair can have same elements as (  1 , 1 )

Cartesian product : If A and B are two sets , we let A × B ( that how we denotes Cartesian product ) denotes the all sets of ordered pair ( a , b ) , Where a ∈ A and b ∈B

1 ) We call A × B , Cartesian product of A and B .
2 ) If | A | = m and | B | =  n then | A× B | =  mn 
3 ) If A = {  1 , 2 , 3 }  and B  =  { a , b }
Then Cartesian product A × B  = { (  1 , a ) , (  1 , b ) , ( 2 , a ) , ( 2 , b ), ( 3 , a ) , ( 3 , b ) }