I need help with this part please:

$5.$ Correct the definitions of the math operations. $($a$)$ The following functions are closely related.

$$ double dotWith$($MathVector$)$ should calculate the dot product. $..($x$1,$x$2,$x$3,...,$xN$)($y$1,$y$2,$y$3,...,$yN$)=$x$1$y$1+$x$2$y$2+$x$3$y$3+...+$xNyN

You do not need to worry about a user attempting to find the dot product of vectors

of different dimensions.

$$ double getMagnitude$()$ should calculate the magnitude of the vector using Pythagoras...

$($x$1,$x$2,$x$3,...,$xN$)=$qx$21+$x$2+$x$23+...+$x$2$N

I have attached everything I have so far for reference.

class MathVector $\{$

private final int dim;

private final double$[]$ values;

public MathVector$($int N$)\{$

dim$=N$;

$\}$

values $=$ new double $N$;

public MathVector$($double$...$ arr$)\{$

dim$=$ arr. length;

values $=$ new double $[$dim$]$;

for $($int $[i]=$arr$[i]dim,=v*dim$;$=[i]=$virx$=r**y=r**x,yrx=r**y=r**z=r**cos[idx-1]=$val$=0x_{?}=0i=0$;$ii=0$;$i$