Solution to What is the Cartesian product A × B × C, where A is the set … - Sikademy
Author Image

Archangel Macsika

What is the Cartesian product A × B × C, where A is the set of all airlines and B and C are both set of allcities in USA? Give an example of how this Cartesian product can be used

The Answer to the Question
is below this banner.

Can't find a solution anywhere?


Get the Answers Now!

You will get a detailed answer to your question or assignment in the shortest time possible.

Here's the Solution to this Question

The Cartesian product A \times B \times C consists of all the ordered triples of the form (a,b,c) where a is an airline and both b and are cities in the United States.

One way to use the set A \times B \times C represents all airlines that fly from the city B to city C of the United States and A \times B \times C would give us information on the connectivity of the cities using the airline.

Now, we show by an example how the Cartesian product would work.

Let A = {a,b}, B = {x,y} and C = {1}.

Now the Cartesian product of A, B and C is defined as:

A \times B \times C = {a,b} \times [{x,y} \times {1}] \\ = {a,b} \times [{x,1},{y,1}] \\ = {(a,x,1),(a,y,1),(b,x,1),(b,y,1)}

Related Answers

Was this answer helpful?

Join our Community to stay in the know

Get updates for similar and other helpful Answers

Question ID: mtid-5-stid-8-sqid-3015-qpid-1714