<!DOCTYPE html>
<html>

  <script>
    'use strict';

    // define Vector type objects
    function Vector(values) // values is an array
    {
        var m, order;
        this.m = values;
        this.order = values.length;

        // display function:
        this.show = function ()
        {

            for (var i = 0; i < this.order; i++)
            {
                document.write(this.m[i] + " ");
            }

            document.writeln("<br>");
        };

        // scalar product:
        this.scalar = function (s)
        {
            var temp = new Array(this.order);
            for (var i = 0; i < this.order; i++)
            {
                temp[i] = this.m[i] * s;

            }
            return new Vector(temp);
        };

        //dot product
        this.dot = function (other)
        {
            var result = 0;
            for (var i = 0; i < this.order; i++)
                result += this.m[i] * other.m[i];
            return result;
        };

        //length or norm
        this.length = function ()
        {
            var result = 0;
            for (var i = 0; i < this.order; i++)
                result += this.m[i] * this.m[i];
            return Math.sqrt(result);
        };

        //distance
        this.distance = function (other)
        {
            var result = 0;
            for (var i = 0; i < this.order; i++)
                result += (this.m[i] - other.m[i])*(this.m[i] - other.m[i]);
            return Math.sqrt(result);
        };

 //sum
        this.sum = function (other)
        {
            var temp = new Array(this.order);
            for (var i = 0; i < this.order; i++)
                temp[i] = this.m[i] + other.m[i];
            return new Vector(temp);
        };
    }




    var vector1 = new Vector([2,1,0]);
    var vector2 = new Vector([1,0,0]);
    vector1.sum(vector2).show(); // 3 1 0
    var vector3=vector1.scalar(3); // 6 3 0


  </script>
  <head>
    <title>Vector</title>
  </head>
  <body>
  </body>
</html>