function zeros(dimensions) {
    var array = [];

    for (var i = 0; i < dimensions[0]; ++i) {
        array.push(dimensions.length == 1 ? 0 : zeros(dimensions.slice(1)));
    }

    return array;
}

> zeros([5, 3]);
  [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]]