Chapter 1, Problem 9C

Explanation of Solution

C++ Class Vector2:

class Vector2

{

private:

    double x, y;

public:

// constructor

Vector2(double x, double y)

: x( x), y( y)

{ }

// vector addition

Vector2 operator+(const Vector2& v)

{

    return Vector2(x + v.x, y + v.y);

}

// scalar-vector multiplication

Vector2 operator*(double s)

{

    return Vector2(s*x, s*y);

}

double operator*(const Vector2& v)

// dot product

{

    return x*v.x + y*v.y;

}

};

Explanation:

The method shown above translates the operation “u+v” into the member function call “u...