In an octagon $$ABCDEFGH$$ of equal side, what is the sum of $$\vec{AB} + \vec{AC} + \vec{AD} + \vec{AE} + \vec{AF} + \vec{AG} + \vec{AH}$$, if, $$\vec{AO} = 2\hat{i} + 3\hat{j} - 4\hat{k}$$

A

$$16\hat{i} + 24\hat{j} - 32\hat{k}$$

B

$$16\hat{i} - 24\hat{j} + 32\hat{k}$$

C

$$16\hat{i} + 24\hat{j} + 32\hat{k}$$

D

$$-16\hat{i} - 24\hat{j} + 32\hat{k}$$