If a , b , c are the position vectors of the vertices A, B, C respectively of a triangle ABC and G is the centroid of the triangle, then what is AG equal to?

NDA 2022 Mathematics question

If , , are the position vectors of the vertices , , respectively of a triangle and is the centroid of the triangle, then what is equal to?

Answer: (C)

The position vector of the centroid is . So

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Question ID VK-029388