Vector3D class contains basic functionality like adding, subtracting, dot product, cross product

3DVector.cpp

/*
Coded by Chetanya Chopra
github : http://github.com/chetanyachopra

*/


/*A basic 3d vector Class */

#include<iostream>
using namespace std;

//class contians basic functionality of vectors
class Vector3D {
private:
	double x, y, z;

public:
// __________defines a basic vector_________________________

	Vector3D(double a = 0.0, double b = 0.0, double c = 0.0) : x(a), y(b), z(c){}

// ______Operational functions________________

	//add two vectors
	friend Vector3D operator + (Vector3D, Vector3D);

	//subtract two vectors
	friend Vector3D operator - (Vector3D, Vector3D);

	//dot product of two vectors
	friend double operator * (Vector3D, Vector3D);

	Vector3D crossProduct(Vector3D);

//function to display a vectr
	friend ostream& operator << (ostream& os, Vector3D);



//check funccc han ya nai
	string isEqual(Vector3D);
};

string Vector3D :: isEqual(Vector3D vec) {
	return (this->x == vec.x && this->y == vec.y && this->z == vec.z) ? "YES" : "NO";
}

//method to add tow vectors
Vector3D operator + (Vector3D const v1, Vector3D const v2) {
	return Vector3D(v1.x + v2.x, v1.y + v2.y, v1.z + v2.z);
}

Vector3D operator - (Vector3D const v1, Vector3D const v2) {
	return Vector3D(v1.x - v2.x, v1.y - v2.y, v1.z - v2.z);
}

// dot product of two vectors
double operator * (Vector3D const v1, Vector3D const v2) {
	Vector3D vec =  Vector3D(v1.x * v2.x, v1.y * v2.y, v1.z * v2.z);
	return vec.x + vec.y + vec.z;
}

//cross product of two vectors
Vector3D Vector3D :: crossProduct(Vector3D vec) {
	return Vector3D(this->y * vec.z - this->z * vec.y,
	 this->x * vec.z - this->z * vec.x,
	  this->x * vec.x - this->y * vec.x);
} 

//method to display vector in readable form
ostream& operator << (ostream& os, Vector3D vec) {
	cout<< vec.x << " " << vec.y << " " << vec.z <<endl;
} 

int main() {

	cout<<"2 vectors are "<< endl;

	//Vector3D vec;
	Vector3D vec2(1.0, 2.0, 3.0);
	Vector3D vec1(3.8, 5.4, 3.2);

	cout<<"a = " <<vec1 << endl;
	cout<<"b = " << vec2 << endl;
	Vector3D res;

	//adding 2 vec
	res = vec1 + vec2;
	cout<< "On Adding 2 vectors : " << res << endl;


	//sub 2 vec
	res = vec2 - vec1;
	cout<<"On Subtracting 2 vectors : "<< res << endl;

	// * symbolises simple dot product 

	cout <<"dot Product of 2 vectors : " << vec1 * vec2 << endl;

	//cross product of 2 vectors
	res = vec1.crossProduct(vec2);

	cout<<"Cross Product of 2 vectors : " << res << endl;
}

Basic Functionality of 3D vector class is implemented like

• adding
• subtracting
• dotproduct
• crossproduct .