Please complete as soon as possible. Thank you! Design specifications

Create a Java project project $8$ and a package package $8$

Call your class MyVector. Define a second class containing a main method that exercises the class

MyVector as an application. That is$,$ a main method that runs through a selection of arithmetic and

logical operations and uses MyVector output. The two classes should be saved in two different files.

Your class MyVector should keep the vector in an ArrayListLab Assignment #B

Objective: This assignment will help you review the ArrayList class as a type$-$safe generic data type.

Program assignment: Build an ADT for vectors.

Your program should have the following header:

A vector $x$ consists of $n$ real components $x_1,x_2,$dots,$x_n.$ The operations between two vectors $,$

$\{$:$x_n]$ and $y=[y_1,y_2,$dots,$y_n]$ are defined as follows:

addition $x_1+y_1,x_2+y_2,$dots,$x_n+y_n$

subtraction $,[x_1-y_1,x_2-y_2,$dots,$x_n-y_n]$

dot$-$product $,x*y=x_1**y_1+x_2**y_2+$dots$+x_n**y_n$

equivalence $,x==y$ if and $x_2=y_2$ and dots and $\{$:$x_n=y_n)$

scalar$-$product $,s**x=[s**x_1,s**x_2,$dots,$s**x_n],$ where $s$ is a real number.

absolute$-$value $,|x|=\sqrt[\phantom{2}]{?}(x*x)$

You should have two constructors:

a$.$ One constructor, with parameters $($double $[]$ initvalues$),$ where initvalues are

the initialization values for the new vector.

b$.$ The copy constructor.

You should have an accessor function for the $k-$th components of a vector.

You should have member functions for arithmetic: plus $()$ and minus $()$ which, for example, would

be used as: $x=y.$plus$(z),$ where $x,y,$ and $z$ are MyVector objects.

You should have a member function for scaling: scaledBy $()$ which, for example, would be used as:

$x=y.$scaledBy$(s),$ where $x$ and $y$ are MyVector objects, and $s$ is a real number.

You should override the toString $()$ method for display on System. out

You should override the equals $()$ method.

You should create an absolute value function: abs $()$

You should build a dot product function: $)$