JEE Advanced Mathematics question
Let be a vector parallel to the line of intersection of the planes and through the origin. The plane is parallel to the vectors and while the plane is parallel to the vectors and . The angle between and is
Answer: (B),(D)
Solution
A plane parallel to has normal ; the line of intersection of two planes is perpendicular to both normals, so it is parallel to .
(2 j + 3 k)×(4 j - 3 k) = -6 i - 12 i = -18 i,
( j - k)×(3
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