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Maths Question 24 – JEE-MAIN 2025

Let the three sides of a triangle ABC be given by the vectors 2i^j^+k^, i^3j^5k^ and 3i^4j^4k^. Let G be the centroid of the triangle ABC. Then 6(|AG|2+|BG|2+|CG|2) is equal to ______.
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