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MHT CET 2023 Mathematics question

MathematicsVector AlgebraMHT CET 2023

Let be a vector parallel to line of intersection of planes P and P through origin. P is parallel to the vectors and and P is parallel to and , then the angle between and is

Answer: (D)

Solution

Normal of : (direction of ). Normal of : . The line of intersection is along $Missing argument for \vec\vec ×Missing argument for \vec\vec =-18Missing argument for \hat\hat i×(3Missing argument for \hat\hat i-3Missing argument for \hat\hat j-3Missing argument for \hat\hat k)=-18(-3Missing argument for \hat\hat k+3Missing argument for \hat\hat

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Question ID VK-097470