If, D, E, F are mid points of sides BC, CA and AB respectively of a triangle ABC, and i +…
Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry
If, D, E, F are mid points of sides BC, CA and AB respectively of a triangle ABC, and \(\hat{i}+\hat{j}, \hat{j}+\hat{k}, \hat{k}+\hat{i}\) are p.v. of points A, B and C respectively, then p.v. of centroid of ∆DEF is
- \(\frac{\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}}{3}\)
- \(\hat{i}+\hat{j}+\hat{k}\)
- 2 \((\hat{i}+\hat{j}+\hat{k})\)
- \(\frac{2(\hat{i}+\hat{j}+\hat{k})}{3}\)
Answer
(D) 2( i + j + k ) 3
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