Suppose we needed to add the additional $($n$+1)-$th constant dimension $($i$.$e$.$ xn$+1=$c$,$ c$=$const$)$ to all the data. How would this affect the L$1/$L$2$ metrics?

Suppose we needed to add the additional $($n$+1)-$th constant dimension $($i$.$e$.$ xn$+1=$c$,$ c$=$const$)$ to all the data. How would this affect the L$1/$L$2$ metrics?

Both L$1$ and L$2$ change

L$1$ changes, L$2$ doesn't

L$2$ changes, L$1$ doesn't

None of L$1$ and L$2$ change

None of the above