GLSL tutorial 1 - vector3d.h

//http://www.youtube.com/user/thecplusplusguy
#ifndef VECTOR3D_H
#define VECTOR3D_H
#include <iostream>
#include <cmath>

class vector3d{
    public:
        float x,y,z;
        vector3d();
        vector3d(float a,float b);
        vector3d(float a,float b,float c);

        float dotProduct(const vector3d& vec2);
        vector3d crossProduct(const vector3d& vec2);
        float length();
        void normalize();

        void change(float a,float b,float c);
        void change(vector3d vec2);
        void changeX(float a);
        void changeY(float a);
        void changeZ(float a);

        vector3d operator+(const vector3d& vec2);
        vector3d operator-(const vector3d& vec2);
        vector3d operator*(float num);
        vector3d operator/(float num);

        vector3d& operator+=(const vector3d& vec2);
        vector3d& operator-=(const vector3d& vec2);
        vector3d& operator*=(float num);
        vector3d& operator/=(float num);

        bool operator==(const vector3d vec2);
        bool operator!=(const vector3d vec2);

        friend std::ostream& operator<<(std::ostream& out,const vector3d& vec);
};

#endif