Создать класс "Вектор"

#pragma once
 
class vector
{
private:
    
public:
    double x;
    double y;
    double z;
    vector()
    {
        x = 0;
        y = 0;
        z = 0;
    }
    vector(double znachX, double znachY, double znachZ)
    {
        x = znachX;
        y = znachY;
        z = znachZ;
    }
 
 
 
#pragma endregion
    
private: System::Void button1_Click(System::Object^ sender, System::EventArgs^ e) {
    double ax, ay, az, bx, by, bz, d, AB, BC, AC;
    ax = Convert::ToDouble(textBox1->Text);
    ay = Convert::ToDouble(textBox2->Text);
    az = Convert::ToDouble(textBox3->Text);
    bx = Convert::ToDouble(textBox4->Text);
    by = Convert::ToDouble(textBox5->Text);
    bz = Convert::ToDouble(textBox6->Text);
    
    vector a(ax, ay, az);
    vector b(bx, by, bz);
    
    vector sum;
    sum.x = a.x + b.x;
    sum.y = a.y + b.y;
    sum.z = a.z + b.z;
    
    vector c;
    c.x = sum.y * a.z - sum.z * a.x;
    c.y = (sum.z * a.x - sum.x * a.z) * (-1);
    c.z = sum.x * a.y - sum.y * a.x;
 
    d = a.x * b.x + a.y * b.y + a.z * b.z;
 
    AB = cos((a.x * b.x + a.y * b.y) / (sqrt(pow(a.x, 2) + pow(a.y, 2)) * sqrt(pow(b.x, 2) + pow(b.y, 2))));
    BC = cos((b.x * c.x + b.y * c.y) / (sqrt(pow(b.x, 2) + pow(b.y, 2)) * sqrt(pow(c.x, 2) + pow(c.y, 2))));
    AC = cos((a.x * c.x + a.y * c.y) / (sqrt(pow(a.x, 2) + pow(a.y, 2)) * sqrt(pow(c.x, 2) + pow(c.y, 2))));
 
    textBox9->Text = Convert::ToString(AB);
    textBox10->Text = Convert::ToString(BC);
    textBox11->Text = Convert::ToString(AC);

string vector::to_string();

vector vector::operator+(const vector& rhs); // операция сложения двух векторов

vector vector::operator+(const vector& rhs); // операция сложения двух векторов

vector vector::operator+(const vector& rhs){
   return vector(this->x+rhs.x, this->y+rhs.y, this->z+rhs.z); 
}