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

  • question_answer
    Which of the following is not a property of vectors                                                 [MP PET 1987]

    A)                 \[\mathbf{u}\times \mathbf{v}=\mathbf{v}\times \mathbf{u}\]    

    B)                 \[\mathbf{u}\,.\,\mathbf{v}=\mathbf{v}\,.\,\mathbf{u}\]

    C)                 \[{{(\mathbf{u}\times \mathbf{v})}^{2}}={{\mathbf{u}}^{2}}\,.\,{{\mathbf{v}}^{2}}-{{(\mathbf{u}\,.\,\mathbf{v})}^{2}}\]

    D)                 \[{{\mathbf{u}}^{2}}=\,|\mathbf{u}{{|}^{2}}\]

    Correct Answer: A

    Solution :

                    Vector product is not commutative.


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