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Correct option is A
Taking O as the origin,let the position vectors of A,B and C be a→,b→ and c→ respectively. Then the position vectors ofG1,G2 and G3 are b→+c→3,c→+a→3 and a→+b→3 respectively. ∴ V1 = 16 a→ b→ c→ and V2=OG1→OG2→OG3→ Now, V2=OG1→OG2→OG3→⇒ V2 = b→ +c→3 c→ +a→ 3 a→ +b→3⇒ V2 =127 b→ +c→ c→ + a→ a→ +b→⇒ V2 =227 a→ b→ c→⇒ V2 =227 × 6V1 ⇒ 9 V2 = 4V1 Hence, (a) is the correct answer.Similar Questions
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