Question Number 180599 by Crabby last updated on 14/Nov/22
$${Find}\:{the}\:{length}\:{PQ}. \\ $$
Answered by MJS_new last updated on 14/Nov/22
$${P},\:{Q}\:\in\mathbb{R}^{{n}} \\ $$$${P}=\left({p}_{\mathrm{1}} ,\:{p}_{\mathrm{2}} ,\:...\:{p}_{{n}} \right)\wedge{Q}=\left({q}_{\mathrm{1}} ,\:{q}_{\mathrm{2}} ,\:...\:{q}_{{n}} \right) \\ $$$$\mid{PQ}\mid=\sqrt{\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\left({p}_{{k}} −{q}_{{k}} \right)^{\mathrm{2}} } \\ $$