Question Let \( \vec{A} \) be vector parallel to line of intersection of planes \( P_{1} \) and ....

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Question
Let \( \vec{A} \) be vector parallel to line of intersection of
\( \mathrm{P} \)
planes \( P_{1} \) and \( P_{2} \) through origin. \( P_{1} \) is parallel to the vector \( 2 \hat{j}+3 \hat{k} \) and \( 4 \hat{j}-3 \hat{k} \) and \( P_{2} \) is parallel to \( \hat{j}-\hat{k} \) and \( 3 \hat{i}+3 \hat{j} \), then the angle between vectors \( \vec{A} \) and \( 2 \hat{i}+\hat{j}-2 \hat{k} \) is
(1) \( \frac{\pi}{2} \)
(2) \( \frac{\pi}{4} \)
(3) \( \frac{\pi}{6} \)
(4) \( \frac{3 \pi}{4} \)


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