In an octagon ABCDEFGH of equal side, what is the sum of

\(\overrightarrow{AB} + \overrightarrow{AC} + \overrightarrow{AD} + \overrightarrow{AE} + \overrightarrow{AF} + \overrightarrow{AG} + \overrightarrow{AH}\),

if, \(\overrightarrow{AO} = 2\widehat{i} + 3\widehat{j} - 4\widehat{k}\)

1
\(16\widehat{i} + 24\widehat{j} + 32\widehat{k}\)
2
\(-16\widehat{i} - 24\widehat{j} + 32\widehat{k}\)
3
\(16\widehat{i} - 24\widehat{j} + 32\widehat{k}\)
4
\(16\widehat{i} + 24\widehat{j} - 32\widehat{k}\)

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