# Using class to implement Vector Quantities in C++

C++Server Side ProgrammingProgramming

In this tutorial, we will be discussing a program to understand how to use class to implement vector quantities in C++.

Vector quantities are the ones which have both magnitude and direction. Here we will be implementing them using classes and then performing basic operations on them.

## Example

Live Demo

#include <cmath>
#include <iostream>
using namespace std;
class Vector {
private:
int x, y, z;
//components of the Vector
public:
Vector(int x, int y, int z){
this->x = x;
this->y = y;
this->z = z;
}
Vector operator+(Vector v);
Vector operator-(Vector v);
int operator^(Vector v);
Vector operator*(Vector v);
float magnitude(){
return sqrt(pow(x, 2) + pow(y, 2) + pow(z, 2));
}
friend ostream& operator<<(ostream& out, const Vector& v);
//outputting the vector
};
Vector Vector::operator+(Vector v){
int x1, y1, z1;
x1 = x + v.x;
y1 = y + v.y;
z1 = z + v.z;
return Vector(x1, y1, z1);
}
// Subtraction of vectors
Vector Vector::operator-(Vector v){
int x1, y1, z1;
x1 = x - v.x;
y1 = y - v.y;
z1 = z - v.z;
return Vector(x1, y1, z1);
}
// Dot product of vectors
int Vector::operator^(Vector v){
int x1, y1, z1;
x1 = x * v.x;
y1 = y * v.y;
z1 = z * v.z;
return (x1 + y1 + z1);
}
// Cross product of vectors
Vector Vector::operator*(Vector v){
int x1, y1, z1;
x1 = y * v.z - z * v.y;
y1 = z * v.x - x * v.z;
z1 = x * v.y - y * v.x;
return Vector(x1, y1, z1);
}
ostream& operator<<(ostream& out, const Vector& v){
out << v.x << "i ";
if (v.y >= 0)
out << "+ ";
out << v.y << "j ";
if (v.z >= 0)
out << "+ ";
out << v.z << "k" << endl;
return out;
}
int main(){
Vector V1(3, 4, 2), V2(6, 3, 9);
cout << "V1 = " << V1;
cout << "V2 = " << V2;
cout << "V1 + V2 = " << (V1 + V2);
cout << "Dot Product is : " << (V1 ^ V2);
cout << "Cross Product is : " << (V1 * V2);
return 0;
}

## Output

V1 = 3i + 4j + 2k
V2 = 6i + 3j + 9k
V1 + V2 = 9i + 7j + 11k
Dot Product is : 48 Cross Product is : 30i -15j -15k