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JEE Main & Advanced Mathematics Vector Algebra Question Bank Vector or Cross product of two vectors and its application

  • question_answer
    \[(2\mathbf{a}+3\mathbf{b})\times (5\mathbf{a}+7\mathbf{b})=\]                                           [MP PET 1988]

    A)                 \[\mathbf{a}\times \mathbf{b}\]         

    B)                 \[\mathbf{b}\times \mathbf{a}\]

    C)                 \[\mathbf{a}+\mathbf{b}\] 

    D)                 \[7\mathbf{a}+10\mathbf{b}\]

    Correct Answer: B

    Solution :

                    \[14(\mathbf{a}\times \mathbf{b})+15(\mathbf{b}\times \mathbf{a})=\mathbf{b}\times \mathbf{a}\].


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