\( \vec{a}, \vec{b} \) and \( \vec{c} \) are three coplanar unit ve...

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\( \vec{a}, \vec{b} \) and \( \vec{c} \) are three coplanar unit vectors such that \( \vec{a}+\vec{b}+\vec{c}=0 \). If three vectors \( \vec{p}, \vec{q} \) and \( \vec{r} \)
\( \mathrm{P} \) are parallel to \( \vec{a}, \vec{b} \) and \( \vec{c} \), respectively, and have integral but different magnitudes, then among the following options, \( |\vec{p}+\vec{q}+\vec{r}| \) can take a value equal to
W
(1) 1
(2) 0
(3) \( \sqrt{3} \)
(4) 2
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