#include <iostream>
using namespace std;

// declaration
class vector {
    private:
        float x,y,z;

    public:
        vector(float a=0, float b=0, float c=0) {
            x=a;
            y=b;
            z=c;
        }// vector()
        ~vector() {} // nothing to do :)
        void prtVec();

        void getVec(float &a, float &b, float &c);
        void setVec(float &a, float &b, float &c);

};// class vector

inline void vector::getVec(float &a, float &b, float &c) {
            a=x;
            b=y;
            c=z;
}// getVec()

inline void vector::setVec(float &a, float &b, float &c) {
            x=a;
            y=b;
            z=c;
}//setVec()

// definitions
void vector::prtVec() {
    cout << x << ", " << y << ", " << z << endl;
}// prtVec()


// standalone operator overloading, IDENTICAL to
// sum() above!
vector operator+(vector& a, vector& b) {
    float x0,y0,z0,x1,y1,z1;

    a.getVec(x0,y0,z0);
    b.getVec(x1,y1,z1);

    return vector(x0+x1,y0+y1,z0+z1);
}// sum()

class CoordSystem {
public:
    vector xAxis,yAxis,zAxis;
    CoordSystem(float x0, float y0, float z0, float x1, float y1, float z1, float x2, float y2, float z2) {
        xAxis.setVec(x0,y0,z0);
        yAxis.setVec(x1,y1,z1);
        zAxis.setVec(x2,y2,z2);
        // note: a constructor fn does NOT need to return
    }// CoordSystem
    // more methods, eg. isOrthogonal(),
}; // CoordSystem

int main()
{
    CoordSystem cart(1,0,0, 0,1,0, 0,0,1);
    cart.yAxis.prtVec();

    return 0;
}// main()