In an octagon \( ABCDEFGH \) of equal \( \overline{A B}+\overline{A C}+\overline{A D}+\overline{A E}+\overline{A F}+\overline{A G}+\overline{A H} \),
if \( \overline{A O}=2 \hat{i}+3 \hat{j}-4 \hat{k} \)
[Feb. 25, 2021 (1)]
(a) \( -16 \hat{i}-24 \hat{j}+32 k \)
(b) \( 16 \hat{i}+24 \hat{j}+32 \hat{k} \)
() \( 16 \hat{i}+24 \hat{j}-32 \hat{k} \)
(d) \( 16 \hat{i}-24 \hat{j}+32 \hat{k} \)