$2$ Consider the Vector$2$D class.

We want to add multiplication methods in this class. If a vector is multiplied by a real number, then

both $x$ and $y$ values are simply multiplied by that real number. If it is multiplied by another vector

$v,$ then it will follow the rule of dot product. Dot product of two vectors $u$&$v,u.v=u.x**v.x+$

u$.$ Y ${?}^{**}.$y$.$ In this Vector$2$D class, write two overloaded methods for multiplication;

A$.$ One method takes a double parameter, does the real number multiplication, then returns a

Vector $2D$ object and

B$.$ The other one takes a Vector$2$D parameter, does the dot product and then returns a double

number.

public class Vector$2$D$\{$

double $x,y$;

Vector$2$D$()1$

$x=0$;

$y=0$;

$\}$

Vector$2$D$($double $x,$ double y$)$

this. $x=x$;

this. $y=y$ i

$\}$

$\}$