C++

Complete the following program:

Inside class vector 3D define (a) a standard constructor initialising a zero vector 0, (b) an overloaded friend unary operator returning for a vector x as operand the vector y = -x (opposite sign in all compo- nents), (c) an overloaded friend binary operator returning for two vectors x and the difference vector = x - y, (d) an overloaded friend binary input operator >> and (e) an overloaded friend binary output operator using namespace std; class Vector3D {private: static const unsigned int dim = 3; double component [dim); public: (a). _operator-( _operator-1 (d) _operator>>( _operator