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Find-the-length-PQ-




Question Number 180599 by Crabby last updated on 14/Nov/22
Find the length PQ.
$${Find}\:{the}\:{length}\:{PQ}. \\ $$
Answered by MJS_new last updated on 14/Nov/22
P, Q ∈R^n   P=(p_1 , p_2 , ... p_n )∧Q=(q_1 , q_2 , ... q_n )  ∣PQ∣=(√(Σ_(k=1) ^n (p_k −q_k )^2 ))
$${P},\:{Q}\:\in\mathbb{R}^{{n}} \\ $$$${P}=\left({p}_{\mathrm{1}} ,\:{p}_{\mathrm{2}} ,\:…\:{p}_{{n}} \right)\wedge{Q}=\left({q}_{\mathrm{1}} ,\:{q}_{\mathrm{2}} ,\:…\:{q}_{{n}} \right) \\ $$$$\mid{PQ}\mid=\sqrt{\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\left({p}_{{k}} −{q}_{{k}} \right)^{\mathrm{2}} } \\ $$

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