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1. (50 points) Write the definitions for the functions of the class below that stores infor mation about a 2-D vector. The class should have functions to set and get the x and y integer components. Overload theoperator to return the dot product of two vectors as (A x B) +(Ay x By). Overload the operator to also return an integer multiple of the given vector. Overload theoperator to check whether two vectors have equal magnitudes, where the magnitude is given as yA + A function. The class also needs to track how many vector instances are available at any given time using the static variable. using the calculateMagnitude class Vector2D public Vector2DO; //Default constructor Vector2D(int newX, int newY); //Additional constructor Vector2D(int neXValue); //Horizontal vector constructor, y-coordinate is zero friend bool operator (const Vector2D&k vector1, const Vector2D&vector2); friend const int operator * (const Vector2D& vectorl, const Vector2D& vector2); friend const Vector2D& operator * (int n, const Vector2D& vector1); void setX(int new%); void setY(int newY); int getXO; int getYO; double calculateMagnitude ); private int x; int y; static int numberOfVectors; b: int Vector2D: :numberOfVectors 0; (a) (5 points) Vector2D: : Vector2DC) I //Set x and y to 0, and increment the number of vectors