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the position vectors of three points \( A, B, C \) are respectively \( \hat{i}+\hat{j}+\hat{k}, 2 \hat{i}+3 \hat{j}-4 \hat{k} \) and \( 7 \hat{i}+4 \hat{j}+9 \hat{k} \), then the unit vectorperpendicular to the plane of triangle \( A B C \),
(A) \( 31 \hat{\imath}-18 \hat{\jmath}-9 \hat{k} \)
(B) \( \frac{31 \hat{i}-38 \hat{j}-9 \hat{k}}{\sqrt{2486}} \)
(C) \( \frac{31 \hat{i}+18 \hat{j}+9 \hat{k}}{\sqrt{2486}} \)
(D) none of these
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