JEE Mains · Physics · STD 11 - 3.1 vectors
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, \(\overrightarrow{ AO }=2 \hat{ i }+3 \hat{ j }-4 \hat{ k }\)
- 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 \(16 \hat{i}-24 \hat{j}+32 \hat{k}\)
Answer & Solution
Correct Answer
(B) \(16 \hat{i}+24 \hat{j}-32 \hat{k}\)
Step-by-step Solution
Detailed explanation
We know, \(\because \overrightarrow{ OA }+\overrightarrow{ OB }+\overrightarrow{ OC }+\overrightarrow{ OD }+\overrightarrow{ OE }+\overrightarrow{ OF }+\overrightarrow{ OG }+\overrightarrow{ OH }=\overrightarrow{0}\) By triangle law of vector addition, we can write…
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