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Question Number 168121 by rexford last updated on 03/Apr/22

	Answered by FelipeLz last updated on 04/Apr/22
	$r^→ = (a, b, c) {: ((r^→ ∙ı^� = a)),((r^→ ∙ȷ^� = b)),((r^→ ∙k^� = c)) } a = b = c = m ∣r^→ ∣ = 3 (√(a^2 +b^2 +c^2 )) = (√(3m^2 )) = 3 3m^2 = 9 m = ±(√3) ∴ r^→ = ±(√3)(1, 1, 1)$
	$\vec{r} = (a, b, c)$ $\begin{matrix} \vec{r} \cdot \hat{ı} = a \\ \vec{r} \cdot \hat{ȷ} = b \\ \vec{r} \cdot \hat{k} = c \end{matrix}} a = b = c = m$ $∣ \vec{r} ∣ = 3$ $\sqrt{a^{2} + b^{2} + c^{2}} = \sqrt{3 m^{2}} = 3$ $3 m^{2} = 9$ $m = \pm \sqrt{3} ∴ \vec{r} = \pm \sqrt{3} (1, 1, 1)$
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