Question

If R is the set of all real numbers, what do the cartesian products R X R and R X R X R represent ? plz explain briefly

Answer 1

The cartesian product represents the set of all ordered pairs (x,y) where both x and y are real numbers   

RxR {(x,y) : x,y R} 

Which represents the coordinates of all the points in two dimensional space. 

Similarly cartesian product represents the set of all ordered triples of real numbers (x,y,z) 

RxRxR = {(x,y,z) : x,y,z R} 

Which represents the coordinates of all the points in three dimensional space.  

First element in the pair of numbers is called x coordinate  

The second is y coordinate  

And the third is z coordinate

Answer 2

this question is from RD sharma books..