If \overline{i} is the position vector of the centroid G of triangle A B C and 2 \overline{i}+\overline{j}+\overline{k} and 2 \overline{ {\i}}+4 \overline{ {\j}}-4 \overline{ {\k}} are respectively the position vectors of its vertices A and B, then {\AG}^2+ {\BG}^2+ {\CG}^2=

AP EAPCET 16th May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 30 of 160

Marks: +1, -0

If i is the position vector of the centroid G of triangle ABC and 2i+j+k and 2i+4j−4k are respectively the position vectors of its vertices A and B, then AG2+BG2+CG2=

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