Add your name, the date, and $$Assignment $2$ in the comments at the

top of your file. Define macid to be your MacID.

$3.$ The file contains a type definition that can be used to represent any

element of a three dimensional vector space

type Vector$4$D $=($Double$,$Double,Double,Double$).$

$4.$ The file contains three functions getX, getY, getZ, and getM of type

Vector$4$D $->$ Double that return the x$,$y$,$z$,$m coordinates, respec$-$

tively.

$5.$ The file includes a function named scalarMult of type Double $->$

Vector$4$D $->$ Vector$4$D that returns the scalar multiplication of its

inputs, i$.$e$.,$ s $($x$,$y$,$z$,$m$)=($s $$ x$,$s $$ y$,$s $$ z$,$s $$ m$).$

$6.$ The file includes a function named add of type Vector$4$D $->$ Vector$4$D

$->$ Vector$4$D that performs $4$D vector addition, i$.$e$.,($x $1,$y $1,$z $1,$m $1)+$

$($x $2,$y $2,$z $2,$m $2)=($x $1+$ x $2,$y $1+$ y $2,$z $1+$ z $2,$m $1+$ m $2).$