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, $\overrightarrow{ AO }=2 \hat{ i }+3 \hat{ j }-4 \hat{ k }$
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, $\overrightarrow{ AO }=2 \hat{ i }+3 \hat{ j }-4 \hat{ k }$
- [JEE MAIN 2021]
- 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
$16 \hat{i}-24 \hat{j}+32 \hat{k}$
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- [JEE MAIN 2021]
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