In vector algebra we define a three dimensional vector v to be a on ordered trip

Question

In vector algebra we define a three dimensional vector v to be a on ordered triple v = (x, y, z) where x, y and z are real numbers. We also define vector addition to be component wise this means that: If v = (s, t, u) and w = (x, y, z) then v + w = (s+ x, t + y, u + z). Create a new vector class in C++ that has a constructor that initializes its instances to (0, 0, 0). Add a set Components function that will mutate (modify) the vector instance and set its components to the three parameters x, y, z passes to the function respectively. Add an add function add(v) that adds v to the current vector. Add a display function that displays the vector as triple (x, y, z) Write a main function that creates two instances and correctly add them display all three vectors. My Complex class should serve as a good guideline.

Explanation / Answer

/*
C++ program that test Vector class and print
results of add method.
*/
//MyComplex.cpp
//include header files
#include<iostream>
//inclue Vector class
#include "Vector.h"
using namespace std;
int main()
{
   //create two objects of vector class
   Vector v(1,2,3);
   Vector w(1,2,3);

  
   cout<<"v";
   v.display();
   cout<<"w";
   w.display();
  

   cout<<"Result :";
   //calling add method
   v.add(w);
   v.display();

   //pause program output on console.
   system("pause");
   return 0;
}

------------------------------------------------------------------------

//Vector.h
#ifndef VECTOR_H
#define VECTOR_H
#include<iostream>
using namespace std;
//Vector class defintion
class Vector
{
   //private data members
private :
   double x;
   double y;
   double z;
public:
   //contructor
   Vector()
   {
       x=y=z=0;
   }

   //parameterized contructor
   Vector(double x,double y,double z)
   {
       setX(x);
       setY(y);
       setZ(z);
   }

   //Set x to member variable
   void setX(double x)
   {
       this->x=x;
   }
   //Set y to member variable
   void setY(double y)
   {
       this->y=y;
   }
   //Set z to member variable
   void setZ(double z)
   {
       this->z=z;
   }
   //Method add that takes vector reference v and add to this class vector
   void add(Vector &v)
   {
       this->x=this->x+v.x;
       this->y=this->y+v.y;
       this->z=this->z+v.z;
   }

   //print vector in the form of (x,y,z)
   void display()
   {
       cout<<"("<<x<<","<<y<<","<<z<<")"<<endl;
   }
};
#endif VECTOR_H

------------------------------------------------------------------------

Sample Output:

v(1,2,3)
w(1,2,3)
Result :(2,4,6)

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