vectors.java

class Vector2D {
    private double x;
    private double y;

    public Vector2D(double x, double y) {
        this.x = x;
        this.y = y;
    }

    public Vector2D add(Vector2D other) {
        return new Vector2D(this.x + other.x, this.y + other.y);
    }

    public Vector2D subtract(Vector2D other) {
        return new Vector2D(this.x - other.x, this.y - other.y);
    }

    public double dot(Vector2D other) {
        return this.x * other.x + this.y * other.y;
    }

    public double magnitude() {
        return Math.sqrt(x * x + y * y);
    }

    @Override
    public String toString() {
        return "(" + x + ", " + y + ")";
    }
}


public class vectors {
	public static void main(String[] args) {
        Vector2D v1 = new Vector2D(2, 3);
        Vector2D v2 = new Vector2D(4, 1);

        System.out.println("v1 = " + v1);
        System.out.println("v2 = " + v2);

        System.out.println("Addition: " + v1.add(v2));
        System.out.println("Subtraction: " + v1.subtract(v2));
        System.out.println("Dot product: " + v1.dot(v2));
        System.out.println("Magnitude of v1: " + v1.magnitude());
    }
}