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CET Karnataka Medical CET - Karnataka Medical 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,  \[\overrightarrow{A}.\overrightarrow{B}=0\] \[\Rightarrow \] \[\overrightarrow{A}\bot \overrightarrow{B}\]  \[\overrightarrow{A}.\overrightarrow{C}=0\] \[\Rightarrow \] \[\overrightarrow{A}\bot \overrightarrow{C}\] \[\Rightarrow \] \[\overrightarrow{A}\bot \overrightarrow{B}\] and  \[\overrightarrow{A}\bot \overrightarrow{C}\] Since, the direction of \[\overrightarrow{B}\bot \overrightarrow{C}\] is \[\bot \] to \[\overrightarrow{B}\] and \[\overrightarrow{C}\] both i.e., parallel to \[\overrightarrow{A}\].


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