Program:
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Windows.Forms;

namespace LR08
{
    class Program
    {
        static void Main(string[] args)
        {
            Application.EnableVisualStyles();//включает визуальные стили
            Application.Run(new Form1());
        }
    }


}
ArrayVector:
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace LR08
{
    class ArrayVector: Vector, IComparable, ICloneable
    {
        double[] mass;
        public ArrayVector (int l)
        {
            mass = new double[l];
        }
        public ArrayVector ()
        {
            mass = new double[5];
        }

        public double this[int i] //ИНДЕКСАТОР
        {
            set { if ((i>=mass.Length)||(i<0)) throw new ArgumentOutOfRangeException(); else mass[i] = value; }

            get { if ((i >= mass.Length) || (i < 0)) throw new ArgumentOutOfRangeException(); else return mass[i]; }
        }

        public int Length
        {
            get { return mass.Length; }
        }

        public double GetNorm()
        {
            double norm = 0;
            for (int i = 0; i < mass.Length; i++)
            {
                norm = norm + mass[i] * mass[i];

            }
            norm = Math.Sqrt(norm); return norm;
        }

        public override string ToString()
        {
            string res = "";
            for (int i = 0; i < Length; i++)
                res = res+ this[i].ToString() + " ";
            return res;
        }
        public override bool Equals(Object obj)
        {
            Vector vec = (Vector)obj;

            if (Length == vec.Length)
            {
                int k = 0;
                for (int i = 0; i < Length; i++)
                {
                    if (vec[i] == this[i]) k++;
                }
                if (k == Length)
                {
                    return true;
                }
                else return false;
            }
            else return false;
        }
        public int CompareTo(object obj)
        {
            Vector vec = (Vector)obj;
            if (this.Length.CompareTo(vec.Length) > 0) return 1;
            if (this.Length.CompareTo(vec.Length) < 0) return -1;
            return 0;
        }
        public object Clone()
        {
            ArrayVector vec = new ArrayVector(Length);
            for (int i = 0; i < Length; i++)
                vec[i] = mass[i] + 1;
            return vec;
                /*new ArrayVector(Length)
            {
                mass = vec
            }; */
        }


    }
}
Form1.Designer:
namespace LR08
{
    partial class Form1
    {
        /// <summary>
        /// Обязательная переменная конструктора.
        /// </summary>
        private System.ComponentModel.IContainer components = null;

        /// <summary>
        /// Освободить все используемые ресурсы.
        /// </summary>
        /// <param name="disposing">истинно, если управляемый ресурс должен быть удален; иначе ложно.</param>
        protected override void Dispose(bool disposing)
        {
            if (disposing && (components != null))
            {
                components.Dispose();
            }
            base.Dispose(disposing);
        }

        #region Код, автоматически созданный конструктором форм Windows

        /// <summary>
        /// Требуемый метод для поддержки конструктора — не изменяйте
        /// содержимое этого метода с помощью редактора кода.
        /// </summary>
        private void InitializeComponent()
        {
            System.ComponentModel.ComponentResourceManager resources = new System.ComponentModel.ComponentResourceManager(typeof(Form1));
            this.buttonAddArrVec = new System.Windows.Forms.Button();
            this.listBoxForVectors = new System.Windows.Forms.ListBox();
            this.buttonAddLLVec = new System.Windows.Forms.Button();
            this.buttonDel = new System.Windows.Forms.Button();
            this.listBoxForGetNorm = new System.Windows.Forms.ListBox();
            this.buttonGetNorm = new System.Windows.Forms.Button();
            this.buttonSortU = new System.Windows.Forms.Button();
            this.buttonSortD = new System.Windows.Forms.Button();
            this.SuspendLayout();
            //
            // buttonAddArrVec
            //
            this.buttonAddArrVec.AutoSize = true;
            this.buttonAddArrVec.BackgroundImage = ((System.Drawing.Image)(resources.GetObject("buttonAddArrVec.BackgroundImage")));
            this.buttonAddArrVec.ForeColor = System.Drawing.Color.Gold;
            this.buttonAddArrVec.Location = new System.Drawing.Point(12, 12);
            this.buttonAddArrVec.Name = "buttonAddArrVec";
            this.buttonAddArrVec.Size = new System.Drawing.Size(167, 26);
            this.buttonAddArrVec.TabIndex = 0;
            this.buttonAddArrVec.Text = "Добавить ArrayVector";
            this.buttonAddArrVec.UseVisualStyleBackColor = true;
            this.buttonAddArrVec.Click += new System.EventHandler(this.AddArrayVector);
            //
            // listBoxForVectors
            //
            this.listBoxForVectors.Anchor = ((System.Windows.Forms.AnchorStyles)((((System.Windows.Forms.AnchorStyles.Top | System.Windows.Forms.AnchorStyles.Bottom)
            | System.Windows.Forms.AnchorStyles.Left)
            | System.Windows.Forms.AnchorStyles.Right)));
            this.listBoxForVectors.FormattingEnabled = true;
            this.listBoxForVectors.Location = new System.Drawing.Point(204, 12);
            this.listBoxForVectors.Name = "listBoxForVectors";
            this.listBoxForVectors.Size = new System.Drawing.Size(272, 238);
            this.listBoxForVectors.TabIndex = 1;
            //
            // buttonAddLLVec
            //
            this.buttonAddLLVec.BackgroundImage = ((System.Drawing.Image)(resources.GetObject("buttonAddLLVec.BackgroundImage")));
            this.buttonAddLLVec.ForeColor = System.Drawing.Color.Gold;
            this.buttonAddLLVec.Location = new System.Drawing.Point(12, 44);
            this.buttonAddLLVec.Name = "buttonAddLLVec";
            this.buttonAddLLVec.Size = new System.Drawing.Size(167, 25);
            this.buttonAddLLVec.TabIndex = 2;
            this.buttonAddLLVec.Text = "Добавить LinkedListVector";
            this.buttonAddLLVec.UseVisualStyleBackColor = true;
            this.buttonAddLLVec.Click += new System.EventHandler(this.AddLinkedListVector);
            //
            // buttonDel
            //
            this.buttonDel.ForeColor = System.Drawing.Color.Yellow;
            this.buttonDel.Image = ((System.Drawing.Image)(resources.GetObject("buttonDel.Image")));
            this.buttonDel.Location = new System.Drawing.Point(12, 263);
            this.buttonDel.Name = "buttonDel";
            this.buttonDel.Size = new System.Drawing.Size(167, 42);
            this.buttonDel.TabIndex = 3;
            this.buttonDel.Text = "Удалить все массивы";
            this.buttonDel.UseVisualStyleBackColor = true;
            this.buttonDel.Click += new System.EventHandler(this.CleanVectors);
            //
            // listBoxForGetNorm
            //
            this.listBoxForGetNorm.FormattingEnabled = true;
            this.listBoxForGetNorm.Location = new System.Drawing.Point(204, 263);
            this.listBoxForGetNorm.Name = "listBoxForGetNorm";
            this.listBoxForGetNorm.Size = new System.Drawing.Size(272, 43);
            this.listBoxForGetNorm.TabIndex = 4;
            //
            // buttonGetNorm
            //
            this.buttonGetNorm.ForeColor = System.Drawing.Color.Yellow;
            this.buttonGetNorm.Image = ((System.Drawing.Image)(resources.GetObject("buttonGetNorm.Image")));
            this.buttonGetNorm.Location = new System.Drawing.Point(12, 75);
            this.buttonGetNorm.Name = "buttonGetNorm";
            this.buttonGetNorm.Size = new System.Drawing.Size(167, 26);
            this.buttonGetNorm.TabIndex = 5;
            this.buttonGetNorm.Text = "Модуль вектора";
            this.buttonGetNorm.UseVisualStyleBackColor = true;
            this.buttonGetNorm.Click += new System.EventHandler(this.GetNorm);
            //
            // buttonSortU
            //
            this.buttonSortU.ForeColor = System.Drawing.Color.Yellow;
            this.buttonSortU.Image = ((System.Drawing.Image)(resources.GetObject("buttonSortU.Image")));
            this.buttonSortU.Location = new System.Drawing.Point(12, 107);
            this.buttonSortU.Name = "buttonSortU";
            this.buttonSortU.Size = new System.Drawing.Size(167, 44);
            this.buttonSortU.TabIndex = 6;
            this.buttonSortU.Text = "Сортировка по кол-ву элементов (возрастание)";
            this.buttonSortU.UseVisualStyleBackColor = true;
            this.buttonSortU.Click += new System.EventHandler(this.SortUp);
            //
            // buttonSortD
            //
            this.buttonSortD.ForeColor = System.Drawing.Color.Yellow;
            this.buttonSortD.Image = ((System.Drawing.Image)(resources.GetObject("buttonSortD.Image")));
            this.buttonSortD.Location = new System.Drawing.Point(12, 157);
            this.buttonSortD.Name = "buttonSortD";
            this.buttonSortD.Size = new System.Drawing.Size(167, 44);
            this.buttonSortD.TabIndex = 7;
            this.buttonSortD.Text = "Сортировка по кол-ву элементов (убывание)";
            this.buttonSortD.UseVisualStyleBackColor = true;
            this.buttonSortD.Click += new System.EventHandler(this.SortDown);
            //
            // Form1
            //
            this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F);
            this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font;
            this.BackColor = System.Drawing.SystemColors.Menu;
            this.BackgroundImage = ((System.Drawing.Image)(resources.GetObject("$this.BackgroundImage")));
            this.ClientSize = new System.Drawing.Size(488, 317);
            this.Controls.Add(this.buttonSortD);
            this.Controls.Add(this.buttonSortU);
            this.Controls.Add(this.buttonGetNorm);
            this.Controls.Add(this.listBoxForGetNorm);
            this.Controls.Add(this.buttonDel);
            this.Controls.Add(this.buttonAddLLVec);
            this.Controls.Add(this.listBoxForVectors);
            this.Controls.Add(this.buttonAddArrVec);
            this.Icon = ((System.Drawing.Icon)(resources.GetObject("$this.Icon")));
            this.Name = "Form1";
            this.Text = "Лабораторная работа №8";
            this.Load += new System.EventHandler(this.Form1_Load);
            this.ResumeLayout(false);
            this.PerformLayout();

        }

        #endregion

        private System.Windows.Forms.Button buttonAddArrVec;
        private System.Windows.Forms.ListBox listBoxForVectors;
        private System.Windows.Forms.Button buttonAddLLVec;
        private System.Windows.Forms.Button buttonDel;
        private System.Windows.Forms.ListBox listBoxForGetNorm;
        private System.Windows.Forms.Button buttonGetNorm;
        private System.Windows.Forms.Button buttonSortU;
        private System.Windows.Forms.Button buttonSortD;
    }
}

Form2:
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Windows.Forms;

namespace LR08
{
    public static class Form2
    {
        public static string ShowDialog(string message, string name)
        {
            Form form2 = new Form()
            {
                Width = 350,
                Height = 140,
                FormBorderStyle = FormBorderStyle.FixedDialog,
                Text = name,
                StartPosition = FormStartPosition.CenterParent
            };
            Label textLabel = new Label() { Left = 49, Top = 10, Width = 230, Height = 30, Text = message };
            TextBox textBox = new TextBox() { Left = 50, Top = 39, Width = 230 };
            Button confirmation = new Button() { Text = "Ок", Left = 49, Width = 50, Top = 63 };
            confirmation.Click += (sender, e) => { form2.DialogResult = DialogResult.OK; form2.Close(); };
            Button cancel = new Button() { Text = "Отмена", Left = 200, Width = 81, Top = 63 };
            cancel.Click += (sender, e) => { form2.DialogResult = DialogResult.Cancel; form2.Close(); };
            form2.Controls.Add(textBox);
            form2.Controls.Add(confirmation);
            form2.Controls.Add(cancel);
            form2.Controls.Add(textLabel);
            form2.AcceptButton = confirmation;
            form2.CancelButton = cancel;
            form2.MinimizeBox = false;
            form2.MaximizeBox = false;
            form2.FormBorderStyle = FormBorderStyle.FixedDialog;
            return form2.ShowDialog() == DialogResult.OK ? textBox.Text : null;
        }
    }
}
LinkedListVector:
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace LR08
{
    class LinkedListVector : Vector, IComparable, ICloneable
    {
        public class Node
        {
            public double el = 0;
            public Node next;
            public Node(double elem)
            {
                this.el = elem;
                this.next = null;
            }
            public Node()
            {
                el = 0;
                next = null;
            }
        }
        Node headNode;
        Node lastNode;
        int len;

        public LinkedListVector()   //Создание пустого списка
        {
            this.len = 0;
        }
        /* public LinkedListVector(int n)
         {
             if (n < 1) throw new FormatException("Длина односвязного списка не может быть меньше единицы");
             Node lastNode = headNode;

             for (int i = 2; i <= n; i++)
             {
                 Node newNode = new Node();
                 lastNode = newNode;
             }
         } */


        public int Length
        {
            get
            {
                int result = 1;
                Node lastNode = headNode;
                while (lastNode.next != null)
                {
                    result++;
                    lastNode = lastNode.next;
                }
                return result;
            }
        }



        public void Push(double element)
        {
            if (headNode == null)
            {
                // создать узел, сделать его головным
                this.headNode = new Node();
                this.headNode.el = element;
                // этот же узел и последний
                this.lastNode = this.headNode;
                // следующего узла нет
                this.headNode.next = null;
                len += 1;
            }
            else
            {
                // создать временный узел
                Node newNode = new Node();
                // следующий за предыдущим последним узлом - новый узел
                this.lastNode.next = newNode;
                // он становится новым последним
                this.lastNode = newNode;
                this.lastNode.el = element;
                // следующего узла пока нет
                this.lastNode.next = null;
                len += 1;
            }
        }











        public double this[int i]
        {
            get
            {
                if (i >= 0 && i < len)
                {
                    Node newnode = new Node();
                    newnode = this.headNode;
                    for (int k = 0; k < i; k++)
                    {
                        newnode = newnode.next;
                    }
                    return newnode.el;
                }
                else
                    throw new ArgumentOutOfRangeException();
            }
            set
            {
                if (i >= 0 && i < len)
                {
                    Node newnode = new Node();
                    newnode = this.headNode;
                    for (int k = 0; k < i; k++)
                    {
                        newnode = newnode.next;
                    }
                    newnode.el = value;
                }
                else throw new ArgumentOutOfRangeException();
            }
        }

        public double GetNorm()
        {
            double result = 0;
            Node lastNode = headNode;
            for (int i = 1; i <= len; i++)
            {
                result = result + lastNode.el * lastNode.el;
                lastNode = lastNode.next;

            }
            return Math.Sqrt(result);
        }
        public override string ToString()
        {
            string res="";
            for (int i = 0; i < len; i++)
                res = res + this[i].ToString() + " ";
            return res;
        }

        public override bool Equals(Object obj)
        {
            Vector vec = (Vector)obj;
            if (Length == vec.Length)
            {
                int k = 0;
                for (int i = 0; i < Length; i++)
                {
                    if (vec[i] == this[i]) k++;
                }
                if (k == Length)
                {
                    return true;
                }
                else return false;
            }
            else return false;
        }
        public int CompareTo(object obj)
        {
            Vector vec = (Vector)obj;
            if (this.Length.CompareTo(vec.Length) > 0) return 1;
            if (this.Length.CompareTo(vec.Length) < 0) return -1;
            return 0;
        }

        public object Clone()
        {
            LinkedListVector vec = new LinkedListVector();
            for (int i = 0; i < Length; i++)
                vec.Push(this[i] + 1);
            return vec;
        }
    }
}
Vector:
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace LR08
{
    interface Vector : ICloneable
    {
        int Length
        {
            get;
        }

        double GetNorm();
        double this[int i]
        {
            set;
            get;
        }


    }
}
VectorComparer:
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace LR08
{
    class VectorComparer: IComparer<Vector>
    {
        public int Compare(Vector obj, Vector obj1)
        {
            if (obj.GetNorm() > obj1.GetNorm()) return 1;
            if (obj.GetNorm() < obj1.GetNorm()) return -1;
            return 0;
        }
    }
}