Vector Class

import java.util.*;

public class Vector {

    // Variables
    double x;
    double y;
    double z;
    ArrayList <Double> myVector;

    // Constructors
    Vector(){
        x = 0;
        y = 0;
        z = 0;
        myVector = new ArrayList <Double> ();
        myVector.add(x);
        myVector.add(y);
        myVector.add(z);
    }

    Vector(double x, double y, double z){
        this.x = x;
        this.y = y;
        this.z = z;
        myVector = new ArrayList <Double> ();
        myVector.add(x);
        myVector.add(y);
        myVector.add(z);
    }



    // Methods
    // 1st Method
    Vector add(Vector v) {
        // First create the 3 appropriate variables
        double newX = x + v.x;
        double newY = y + v.y;
        double newZ = z + v.z;
        Vector result = new Vector(newX, newY, newZ);
        return result;
    }

    // 2nd Method
    Vector subtract(Vector v) {
        // First create the 3 appropriate variables
        double newX = x - v.x;
        double newY = y - v.y;
        double newZ = z - v.z;
        Vector result = new Vector(newX, newY, newZ);
        return result;
    }

    // 3rd Method
    boolean isEqualTo(Vector v) {
        if(x == v.x && y == v.y && z == v.z && myVector == v.myVector) {
            return true;
        }
        return false;
    }


    // 4th method
    Vector cross(Vector v) {
        double newX = x * v.x;
        double newY = y * v.y;
        double newZ = z * v.z;
        return new Vector(newX, newY, newZ);
    }

    // 5th method
    double product(Vector v) {
        double sum = x * v.x + y * v.y + z * v.z;
        return sum;
    }

    // 6th method
    String convertToString() {
        return ("<" + x + ", " + y + ", " + z + ">");
    }



    // MAIN METHOD
    public static void main(String[] args) {
        // TODO Auto-generated method stub

        // Initializations
        Vector a = new Vector();
        Vector b = new Vector(1, 2, 3);
        Vector c = new Vector(4, 5, 6);

        // Displays
        System.out.println("a = " + a.myVector);
        System.out.println("b = " + b.myVector);
        System.out.println("c = " + c.myVector);
        System.out.println();

        // 1. To check the function "add" - OK
        Vector aPlusB = a.add(b);
        Vector bPlusC = b.add(c);
        System.out.println("1. Checking add");
        System.out.println("a + b = " + aPlusB.myVector);
        System.out.println("b + c = " + bPlusC.myVector);
        System.out.println();

        // 2. To check the function "subtract" - OK
        Vector aMinusB = a.subtract(b);
        Vector bMinusC = b.subtract(c);
        System.out.println("2. Checking subtract");
        System.out.println("a - b = " + aMinusB.myVector);
        System.out.println("b - c = " + bMinusC.myVector);
        System.out.println();

        // 3. To check the function "isEqualTo" - OK
        boolean result1 = a.isEqualTo(b);
        boolean result2 = b.isEqualTo(c);
        boolean result3 = a.isEqualTo(a);
        System.out.println("3. Checking equality or not");
        System.out.println(result1 + "  " + result2 + "  " + result3);
        System.out.println();

        // 4. To check the function "cross"
        Vector aTimesB = a.cross(b);
        Vector bTimesC = b.cross(c);
        System.out.println("4. Checking cross product");
        System.out.println("a * b = " + aTimesB.myVector);
        System.out.println("b * c = " + bTimesC.myVector);
        System.out.println();

        // 5. To check the function "product"
        System.out.println("Checking product");
        double product1 = a.product(b);
        double product2 = b.product(c);
        System.out.println("a * b = " + product1);
        System.out.println("b * c = " + product2);
        System.out.println();

        // 6. To check the function "convertToString"
        String stringEquivalent1 = a.convertToString();
        String stringEquivalent2 = b.convertToString();
        String stringEquivalent3 = c.convertToString();
        System.out.println("a = " + stringEquivalent1);
        System.out.println("b = " + stringEquivalent2);
        System.out.println("c = " + stringEquivalent3);
        System.out.println();

    }

}