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JCECE Engineering JCECE Engineering Solved Paper-2013

  • question_answer
    If the three vectors \[A,\,\,\,B\] and \[C\] satisfy the relation \[\mathbf{A}\bullet \mathbf{B}=0\] and \[\mathbf{A}\bullet \mathbf{C}=0\], then vector A is parallel to

    A) \[\mathbf{A}\]                                

    B) \[\mathbf{B}\]

    C) \[\mathbf{A}\times \mathbf{B}\]                           

    D)  \[\mathbf{B}\times \mathbf{C}\]

    Correct Answer: D

    Solution :

    Given,\[\mathbf{A}\cdot \mathbf{B}=0\],           \[\therefore \]\[\mathbf{A}\]is\[\bot \]to\[\mathbf{B}\] also        \[\mathbf{A}\cdot \mathbf{C}=0\]         \[\therefore \]\[\mathbf{A}\]is\[\bot \]to\[\mathbf{C}\] As \[\mathbf{B}\times \mathbf{C}\] is\[\bot \]to both \[\mathbf{B}\] and\[\mathbf{C}\], so \[\mathbf{B}\times \mathbf{C}\] is parallel to\[\mathbf{A}\].


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