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

Question

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

$ - 16\widehat i - 24\widehat j + 32\widehat k$

$16\widehat i + 24\widehat j - 32\widehat k$

$16\widehat i + 24\widehat j + 32\widehat k$

$16\widehat i - 24\widehat j + 32\widehat k$

Solution

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