This lab is an ODA. Please submit whatever you have and don$$t wait to solve all questions to submit your work. However, it

is recommended to finish it in your own time.

$1.$ Write a program which has the following properties with non$-$member overloaded operators detailed below:

$($a$)$ Define a class called Vector which has $($integer$)$ x and y private members. $($Please note that this Vector class has

nothing to do with the vector class in C$++.)$

$($b$)$ Define your getter and setter functions. $($Please make the getter functions const once you make sure that things

are working$).$

$($c$)$ Define a default constructor which initializes x and y with $0$ by using initialization list.

$($d$)$ Define a constructor which initializes both x and y with user defined values initialization list.

$($e$)$ Define a display $()$ function which displays x and y components of your vector objects in parentheses like $(1,2).$

$($f$)$ Define the following overloaded operators which are non$-$member functions:

i$.$ Define an overloaded operator for Vector operator $+($const Vector &v$1,$ const Vector &v$2)$ which

can perform vector summation and return a Vector object. $($Let v$1=($x$1,$ y$1)$ and v$2=($x$2,$ y$2),$ then

v$1+$ v$2=($x$1+$ x$2,$ y$1+$ y$2))$

ii$.$ Define an overloaded operator for Vector operator $-($const Vector &v$1,$ const Vector &v$2)$ which

can perform vector difference and return a Vector object. $($Let v$1=($x$1,$ y$1)$ and v$2=($x$2,$ y$2),$ then

v$1$ v$2=($x$1$ x$2,$ y$1$ y$2))$

iii. Define an overloaded operator for Vector operator $-($const Vector &v$1)$ which returns a Vector ob$-$

ject which will be in the opposite direction of v$1.$

iv$.$ Define an overloaded operator for bool operator $==($const Vector &v$1,$ const Vector &v$2)$ which

checks if two vectors are the same and returns either true or false. You$$re going to check whether the corre$-$

sponding components are the same.

$2.$ Make a copy of your solution above and change all non$-$member overloaded operators to member functions. Please

notice that function headers need to change.

$1$