Multiplication is also a very easy operation to perform with complex numbers, but we will do a couple of new things in this one. We will define multiplication for Complex objects as:

$(x+yi)**(u+vi)=(xu-yv)+(xv+yu)i$

In Python, we can define and implement many of the standard Python operators such as $+,,$ and $==$ as part of our userdefined classes. This allows for a more natural use of the objects instead of having to call specific methods by name. But the function name will also include the double underscores. If we name it then it will be implicitly called any time the user uses the multiplication symbol $(*),$ which will certainly make it easier.

Complete the following method for the Complex class so that the expression $x^{***}y$ returns a new Complex instance representing the multiplication between two Complex numbers. NOTE: self and other each refer to a Complex number with its two values.qquadqquadFor this question, select the box that applies:Delta$1$ checked my answer using the Python interpreter.$$ completed it using an IDE first.$$ I did not verify my answer in any way, but I am confident in my answer.$$ I struggled to complete the question.

Question $4[10$ points$]$: We want to represent the two$-$dimensional points on the Cartesian coordinate plane. Each point is completely described by its coordinate pair $(x,y).$ We will choose two instance attributes, $x$ and $y$ to represent the pair of values. Define and implement the Point class so that it includes an method to initialize $x$ and $y$ coordinates and can perform the following actions:

distance: returns a distance $($a floating$-$point number$)$ between two Point objects using the standard distance formula. The distance between $(x_1,y_1)$ and $(x_2,y_2)$ is:

$d=\sqrt[\phantom{2}]{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$

: Supports the $+$ operator, returns a new Point that is the vector sum of two Points. First, the new Point must be created, then for points $(($:$x_1,y_1\}$ and $(x_2,y_2),$ the new Point's coordinates are updated to be $(x_1+x_2,y_1+y_2)$