Over loading * operator - must take either zero or one arguments

I'm new to overloading operators, I did some search and found this helpful article, I wrote my own code like the author did but I get vector vector::operator*(float, vector) must take either zero or one argument error.

Here is my code:

class vector
{
      public:
       float x;
       float y;

      vector(float, float);
      float operator$ (vector, vector);
      vector operator* (float, vector);
      vector operator* (vector, float);
};

vector::vector(float _x = 0, float _y = 0)
{
   x = _x;
   y = _y;     
}
const float vector::operator$ (const vector &v1, const vector &v2)
{
    return (v1.x * v2.x) + (v1.y * v2.y);
}

const vector vector::operator* (const float &m, const vector &v)
{
    vector ret_val = v;
    ret_val.x *= m;
    ret_val.y *= m;
    return ret_val;
}

const vector vector::operator* (const vector &v, const float &m)
{
      return m * vector;     
} 

My operating system is kubuntu 12.04 and my IDE is dev-C++ running on linux using wine windows program loader.