Classes help to develop easier and effective programming style.To get a better understanding of classes and the concept of abstraction see http://c-madeeasy.blogspot.in/2011/12/what-is-abstractionthe-concept-of.html

In this program a class named Vector is used to receive data in the form of a vector and + and * operators are overloaded to add and multiply these vectors.The complete Source Code of the C++ program to perform vector addition and multiplication using operator overloading is provided below.

In this program a class named Vector is used to receive data in the form of a vector and + and * operators are overloaded to add and multiply these vectors.The complete Source Code of the C++ program to perform vector addition and multiplication using operator overloading is provided below.

```
#include<iostream.h>
#include<conio.h>
class vector
{
//Visit c-madeeasy.blogspot.com
public:
int x,y,z;
void read()
{
cout<<"\n\nEnter the magnitude of i : ";
cin>>x;
cout<<"\n\nEnter the magnitude of j : ";
cin>>y;
cout<<"\n\nEnter the magnitude of k : ";
cin>>z;
}
vector operator -()
{
x=-x;
y=-y;
z=-z;
}
vector operator +(vector b)
{
vector c;
c.x=x+b.x;
c.y=y+b.y;
c.z=z+b.z;
return c;
}
vector operator *(vector b)
{
int prod;
vector c;
c.x=x*b.x;
c.y=y*b.y;
c.z=z*b.z;
prod=c.x+c.y+c.z;
cout<<"\nScalar Product = ";
cout<<prod;
vector d;
d.x=(y*b.z)-(z*b.y);
d.y=(x*b.z)-(z*b.x);
d.z=(x*b.y)-(y*b.x);
return d;
}
void display()
{
cout<<x<<"i"<<"+"<<y<<"j"<<"+"<<z<<"k";
}
};
void main()
{
vector v1,v2,v3;
int choice,cont;
do
{
clrscr();
cout<<"\n\tVECTORS\n\n1.Negation of The Vector\n\n2.Sum of Vecors\n\n3.Product of Vectors\n\n";
cout<<"\nEnter your choice : ";
cin>>choice;
switch(choice)
{
case 1 : cout<<"\nEnter the Vector\n";
v1.read();
-v1;
cout<<"Negation of the Vector : ";
cout<<v1.x<<"i"<<v1.y<<"j"<<v1.z<<"k";
break;
case 2 : cout<<"\n\nEnter the First Vector : ";
v1.read();
cout<<"\n\nEnter the Second Vector : ";
v2.read();
v3=v1+v2;
cout<<"\n\nThe Sum of Vectors : ";
v3.display();
break;
case 3 : cout<<"\n\nEnter the First Vector : ";
v1.read();
cout<<"\n\nEnter the Second Vector : ";
v2.read();
v3=v1*v2;
cout<<"\n\nVector Product = ";
v3.display();
break;
default : cout<<"\n\nInvalid Choice";
}
cout<<"\n\n\nDo you want to continue?(1-YES,0-NO)\n";
cin>>cont;
}while(cont==1);
}
```

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