Consider the following two vectors: x$=($x$0,$x$1,...,$xn$1)$

and y$=($y$0,$y$1,...,$yn$1)$

$.$ In this homework n$=3.$ But this can be generalised. Write a C$++$ program that has the following:

A C$++$ function that computes the maximum component in a vector $($e$.$g$.$ the maximum of x$0,$x$1,...,$xn$1$

$).$

A C$++$ function that computes the dot product of two vectors $($x$.$y$$

$).$

A C$++$ function that computes the magnitude of a vector $(|$x$|$

$).$

A C$++$ function that checks if two vectors are perpendicular or not $($x$$y$$

$)$; prints $"$Y$"$ if they are perpendicular and prints $"$N$"$ if they are not.