3d vector library

3dvector.js

var Vector = {};
Vector.Rect = function(x, y, z) {
	this.magnitude = Math.sqrt(x^2, y^2, z^2);
	this.toRect = function() { return this; }
	this.toPolar = function() { return Vector.Polar(magnitude, Math.arccos(z/magnitude), Math.arcsin(y/magnitude)) }
	this.x = x;
	this.y = y;
	this.z = z;
}
Vector.Polar = function(magnitude, rx, rz) {
	this._vec = new Vector.Rect(-magnitude * Math.cos(rz), magnitude * Math.sin(rz), magnitude * Math.cos(rx));
	this.magnitude = magnitude;
	this.toRect = function() { return this._vec; }
	this.toPolar = function() { return this; }
	this.rx = rx;
	this.rz = rz;
}
Vector.add = function(v1, v2) {
	return new Vector.Rect(v1.toRect().x + v2.toRect().x, v1.toRect().y + v2.toRect().y, v1.toRect().z + v2.toRect().z);
}
Vector.subtract = function(v1, v2) {
	return new Vector.Rect(v1.toRect().x - v2.toRect().x, v1.toRect().y - v2.toRect().y, v1.toRect().z - v2.toRect().z);
}
Vector.product = function(s,v) {
	return new Vector.Rect(s * v.toRect().x, s * v.toRect().y, s * v.toRect().z);
}
Vector.dotProduct = function(v1, v2) {
	return (v1.toRect().x * v2.toRect().x + v1.toRect().y * v2.toRect().y + v1.toRect().z * v2.toRect().z);
}
Vector.crossProduct = function(v1, v2) {
	return new Vector.Rect(v1.toRect().y * v2.toRect().z - v1.toRect().z * v2.toRect().y, v1.toRect().z * v2.toRect().x - v1.toRect().x * v2.toRect().z, v1.toRect().x * v2.toRect().y - v1.toRect().y * v2.toRect().x);
}