A vector a is parallel to the line of intersection of the plane determined by the vectors \( \ha...

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A vector a is parallel to the line of intersection of the plane determined by the vectors \( \hat{i}, \hat{i}+j \) and the plane determined by the vectors \( \hat{i}-\hat{j}, \hat{i}+\hat{k} \). The obtuse angle between \( a \) and the vector \( b=\hat{i}-2 \hat{j}+2 k \) is
(a) \( \frac{3 \pi}{4} \)
(b) \( \frac{2 \pi}{3} \)
(c) \( \frac{4 \pi}{5} \)
(d) \( \frac{5 \pi}{6} \)
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