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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2003

  • question_answer
    Three vectors satisfy the relation \[\overrightarrow{A.}\overrightarrow{B}=0\] and \[\overrightarrow{A.}\overrightarrow{C}=0,\]then A is parallel to:

    A)  \[\overrightarrow{C}\]                                                

    B)  \[\overrightarrow{B}\]

    C)  \[\overrightarrow{B}\times \overrightarrow{C}\]                           

    D)  \[\overrightarrow{B}.\overrightarrow{C}\]

    Correct Answer: C

    Solution :

    Since, \[\vec{A}.\vec{B}=0\Rightarrow \vec{A}\bot \vec{B}\] \[\vec{A}.\vec{C}=0\Rightarrow \vec{A}\bot \vec{C}\] \[\Rightarrow \vec{A}\bot \vec{B}\] and \[\vec{A}\bot \vec{C}\] Since, the direction of \[\vec{B}\times \vec{C}\] is \[\bot \] to \[\vec{B}\] and \[\vec{C}\] both i.e., parallel to \[\vec{A}\].


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