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MHT CET 2024 Mathematics question

MathematicsVector AlgebraMHT CET 2024

If C is a given non-zero scalar and and are given non-zero vectors such that is perpendicular to . If vector is such that and then is given by

Answer: (C)

Solution

Take the cross product of with : . By the vector triple product, $Missing argument for \overline\overline A×(Missing argument for \overline\overline A×Missing argument for \overline\overline X)=(Missing argument for \overline\overline A·Missing argument for \overline\overline X)Missing argument for \overline\overline A-(Missing argument for \overline\overline A·Missing argument for \overline\overline

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Question ID VK-092677