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The position vectors of points A, B, C a...

The position vectors of points A, B, C are respectively ` hat i- hat j-3 hat k ,2 hat i+ hat j-2 hat k` and `-5 hat i+2 hat j-6 hat k` . If the internal angular bisector of `/_A` in ` A B C` meet BC at D, then length of AD is `1/4` (2) `(11)/2` (3) `(15)/2` (4) `(3sqrt(10))/4`

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