Since NCERT Books are changed, we are still changing the name of content in images and videos. It would take some time.

But, we assure you that the question is what you are searching for, and the content is the best -**Teachoo Promise**. If you have any feedback, please contact us.

Let us take two sets A & B

A = {Red, Blue}

B = {Bag, Shirt, Jeans}

Now, how many pairs can we have?

We can have

(Red, Bag), (Red, Shirt) , (Red, Jeans)

and

(Blue, Bag), (Blue, Shirt), (Blue, Jeans)

Cartesian product is the set of all these pairs.

So, we write

A × B = {(Red, Bag), (Red, Shirt) , (Red, Jeans),

(Blue, Bag), (Blue, Shirt), (Blue, Jeans)}

So,
**
definition
**
of Cartesian Product is

For set A & B

A × B = {(a, b): a ∈ A, b ∈ b}

(a, b) is called

ordered pair.

**
Note that:
**

(a, b) ≠ (b, a)

Let us take some examples

Let A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}

##
**
Find A × B
**

A = {1, 2, 3}, B = {3, 4}

A × B = {(1, 3), (1, 4),

(2, 3), (2, 4),

(3, 3), (3, 4)}

##
**
Find
**
**
B
**
**
×
**
**
A
**

B = {3, 4}, A = {1, 2, 3}

B × A = { (3, 1), (3, 2), (3, 3),

(4, 1), (4, 2), (4, 3)}

Note that

A × B ≠ B × A

##
**
Find A × C
**

A = {1, 2, 3}, C = {4, 5, 6}

A × C = {(1, 4), (1, 5), (1, 6),

(2, 4), (2, 5), (2, 6),

(3, 4), (3, 5), (3, 6)}

##
**
Find C × A
**

C = {4, 5, 6}, A = {1, 2, 3}

C × A = {(4, 1), (4, 2), (4, 3),

(5, 1), (5, 2), (5, 3),

(6, 1), (6, 2), (6, 3), }

Note that

A × C ≠ C × A

##
**
Find
**
**
B
**
**
× C
**

B = {3, 4}, C = {4, 5, 6}

B × C = {(3, 4), (3, 5), (3, 6),

(4, 4), (4, 5), (4, 6)}

##
**
Find
**
**
C × B
**

C = {4, 5, 6}, B = {3, 4}

C × B = {(4, 3), (4, 4),

(5, 3), (5, 4),

(6, 3), (6, 4)}

Note that

B × C ≠ C × B

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class