Test Academy | The position vector of vertices A, B, C of Δ are i ^ + 2 j ^ + 3 k ^ , i ^ + j ^ + 3 k ^ , 2 i ^ + j ^ + 3 k ^ respectively. Let l is the length of angle bisector of ∠BAC , then the value of l 2 is 4 + 2√2, 4 - 2√2, 2 + 2√2, 2

Question

The position vector of vertices A, B, C of Δ are $\hat{i} + 2 \hat{j} + 3 \hat{k}, \hat{i} + \hat{j} + 3 \hat{k}, 2 \hat{i} + \hat{j} + 3 \hat{k}$ respectively. Let l is the length of angle bisector of ∠BAC , then the value of l² is

Options :

4 + 2√2
4 - 2√2
2 + 2√2
2 - 2√2

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