Nested Loops

$[$a$]=$

$$

$$

$11$

$2$

$5$

$$

$,[$b$]=$

$$

$$

$47$

$7$

$3$

$$

$$

Given vectors $[$a$]$ of size $3\backslash$times $1$ and $[$b$]$ of size $3\backslash$times $1,$ if choosing one element from each vector, there exist

$3\backslash$times $3=9$ combinations.

Design a nested loop to calculate and report the product of every combination. In each iteration, your

code needs to report the product and which two elements are used in that iteration to get this product

in the following format.

For example, in the first two iterations, your code should generate the following:

$$The product of a$[1]$ and b$[1]$ equals $517$

$$The product of a$[1]$ and b$[2]$ equals $77$