Class Vector - operations on vectors

Create a class named Vector that represents a vector on the plane with two coordinates: $x$ and $y$.

Implement the following constructors for this class:

• A default constructor that initializes the class fields to zero.

• A constructor that accepts two integer parameters, representing the vector's coordinates.

Implement the following methods:

• void Input(): Reads two vector coordinates, $x$ and $y$, from a single line of input, separated by a space.

• void Out(): Outputs the vector coordinates, separated by a space, followed by a newline.

Overload the following operators:

• = (assignment)

• + (vector addition)

• - (vector subtraction)

• += and -=

• * (dot product of vectors, returns a number)

Submit only the implementation of the class. The solution will be evaluated in the programming languages C++ and C#.