JEE Main 2025 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 4 April 2025, Shift 2, Maths Q24

Question 24 of 75 in this shift, Maths question 24 of 25, Section B.

Let the three sides of a triangle ABC be given by the vectors

2\hat{i}-\hat{j}+\hat{k}

\hat{i}-3\hat{j}-5\hat{k}

and

3\hat{i}-4\hat{j}-4\hat{k}

. Let G be the centroid of the triangle ABC. Then

6\left(|\overline{AG}|^2+|\overline{BG}|^2+|\overline{CG}|^2\right)

is equal to __________.

Official answer

164

NTA final key.