Let the three sides of a triangle ABC be given by the vectors 2 i - j + k , i - 3 j - 5 k and 3 i - 4 j - 4 k...

Question

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

Accepted Answer

164

JEE Main 2025 Mathematics question

Solution

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