If the middle points of sides BC, CA & AB of triangle ABC are respectively D, E, F then position vector of centre of triangle DEF, when position vector of A, B, C are respectively \[\hat{i}+\hat{j},\hat{j}+\hat{k},\hat{k}+\hat{i}\]is

\[\frac{1}{3}(\hat{i}+\hat{j}+\hat{k})\]

\[\frac{2}{3}(\hat{i}+\hat{j}+\hat{k})\]

If the middle points of sides BC, CA & AB of triangle ABC are respecti

1.	If the middle points of sides BC, CA & AB of triangle ABC are respectively D, E, F then position vector of centre of triangle DEF, when position vector of A, B, C are respectively \[\hat{i}+\hat{j},\hat{j}+\hat{k},\hat{k}+\hat{i}\]is
A.	\[\frac{1}{3}(\hat{i}+\hat{j}+\hat{k})\]
B.	\[(\hat{i}+\hat{j}+\hat{k})\]
C.	\[2(\hat{i}+\hat{j}+\hat{k})\]
D.	\[\frac{2}{3}(\hat{i}+\hat{j}+\hat{k})\]
Answer» E.

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If the middle points of sides BC, CA & AB of triangle ABC are respectively D, E, F then position vector of centre of triangle DEF, when position vector of A, B, C are respectively \[\hat{i}+\hat{j},\hat{j}+\hat{k},\hat{k}+\hat{i}\]is

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