public bool IsEmpty {get;}

Coordinate2D v = new Coordinate2D(0, 1);
// v.Magnitude = 1

Coordinate2D other = new Coordinate2D(-1, 0);
double dotProduct = v.DotProduct(other);
// dotProduct = 0

Coordinate2D w = v + other;
// w = (-1, 1)

w += other;
// w = (-2, 1)

w -= other;
// w = (-1, 1)

w = v;
w.Rotate(Math.PI, other);
// w = (-2, -1)

w = other;

w.Scale(-4);
// w = (4, 0)
// w.Magnitude = 4

w.Move(-1, 4);
// w = (3, 4)
// w.Magnitude = 5

w.Move(-6, -1);
Tuple<double, double> components = w.QueryComponents();
// components = (-3, 3)
// w.Magnitude = 3 * Math.Sqrt(2)

Coordinate2D unitVector = w.GetUnitVector();
// w = (-Math.Sqrt(2) / 2, Math.Sqrt(2) / 2)
// w.Magnitude = 1


w.SetComponents(3, 4);