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If \( P \) is a point in space such that \( O P=12 \) and \( \overrightarrow{O P} \) is inclined at angles of \( 45^{\circ} \) and \( 60^{\circ} \) with \( O X \) and \( O Y \) respectively, then the position vector of \( P \) is
(A) \( 6 \hat{i}+6 \hat{j} \pm 6 \sqrt{2} \hat{k} \)
(B) \( 6 \hat{i}+6 \sqrt{2} \hat{j} \pm 6 \hat{k} \)
(C) \( 6 \sqrt{2} \hat{i}+6 \hat{j} \pm 6 \hat{k} \)
(D) none of these
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