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

  • question_answer
    For any two vectors a and b, if \[\mathbf{a}\times \mathbf{b}=\mathbf{0},\] then [Roorkee 1984]

    A)                 \[\mathbf{a}=\mathbf{0}\]

    B)                 \[\mathbf{b}=\mathbf{0}\]

    C)                 Not parallel

    D)                 None of these

    Correct Answer: D

    Solution :

                    \[\mathbf{a}\times \mathbf{b}=\mathbf{0},\] even if \[\mathbf{a}\ne \mathbf{0},\,\,\mathbf{b}\ne \mathbf{0}\] i.e., \[\mathbf{a}\] and \[\mathbf{b}\] are parallel.


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