Place the following vectors in order of increasing size. Note that the distance metric varies.
[Recall that for an n-vector $< u_1, u_2, \dots, u_n >$, its size under the $L_p$ distance measure (for $p \in \mathbb{R}^+$) is
$\left(\sum_{i=1}^n (|u_i|)^p \right)^{1/p}$]
1 $<0, 1, 0, 1>$ using the $L_1$ (Manhattan distance) measure
2 $<0, 0, 1, 1>$ using the $L_p$ measure with $p = 0.5$
3 $<1, 0, 1, 0>$ using the $L_p$ measure with $p = 3$.
4 $<0, 1, 1, 0>$ using the $L_2$ (standard Euclidean distance) measure
