$5\mathrm{.}1[2$ pt$]$ Write a function called operations that takes as inputs a real number $c$ and two vectors $v$ and $w($represented as lists$)$ and returns a dictionary that has eight key$-$value pairs:

shape: the shape of $v($as a tuple$)$

scale: $v$ scaled by $c($as a numpy array$)$

addition: $v$ plus $w($as a numpy array$)$

subtraction: $v$ minus $w($as a numpy array$)$

dot: the dot product of $v$ and $w($as a float$)$

length: the norm of $v($as a float$)$

as$\_$one$\_$long$\_$vector: $v$ and $w$ stacked horizontally $($as a numpy array$)$

as$\_$rows: $v$ and $w$ stacked vertically like books lying in a pile a table $($as a numpy array$)$

$23]$: def operations $($c$,v,w$ :

# YOUR CODE HERE

raise NotImplementedError$()$