class Vector
{
  float x,y,z;
  float nx,ny,nz;
  float mag;
  Vector(float _x, float _y, float _z)
  {
    x=_x;
    y=_y;
    z=_z;
    
    //calculate the normalised vector (vector of length 1) 
    //.. doesn't make sense for using vector for co-ords, 
    //but useful when an actual vector
    mag=sqrt(x*x+y*y+z*z);
    nx=x/mag;
    ny=y/mag;
    nz=z/mag;
  }
}
Vector rotateX(Vector a,float ang)
{
  float mz=a.z*cos(ang)+a.y*sin(ang);
  float my=a.y*cos(ang)-a.z*sin(ang);
  return new Vector(a.x,my,mz);
}
Vector rotateY(Vector a,float ang)
{
  float mz=a.z*cos(ang)-a.x*sin(ang);
  float mx=a.x*cos(ang)+a.z*sin(ang);
  return new Vector(mx,a.y,mz);
}
Vector rotateZ(Vector a,float ang)
{
  float mx=a.x*cos(ang)-a.y*sin(ang);
  float my=a.y*cos(ang)+a.x*sin(ang);
  return new Vector(mx,my,a.z);
}
 

Vector p=new Vector(50,20,-50);
p=rotateX(p,HALF_PI);
p=rotateY(p,-0.854);
println("Vector P, x:"+p.x+", y:"+p.y+" z:"+p.z);