The position vectors of points \( A, B \) and \( C \) are \( \hat{i...

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The position vectors of points \( A, B \) and \( C \) are \( \hat{i}+\hat{j}+\hat{k}, \hat{i}+5 \hat{j}-\hat{k} \) and \( 2 \hat{i}+3 \hat{j}+5 \hat{k} \), respectively. The greatest angle of triangle \( A B C \) is
\( \mathrm{P} \)
(1) \( 120^{\circ} \)
(2) \( 90^{\circ} \)
(3) \( \cos ^{-1}(3 / 4) \)
(4) none of these
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