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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2001

  • question_answer
    If\[\overrightarrow{A}.\overrightarrow{B}=\overrightarrow{A}.\overrightarrow{C},\]then difference of\[\overrightarrow{B}\]and\[\overrightarrow{C}\]and\[\overrightarrow{A}\]are

    A)  parallel          

    B)  perpendicular

    C)  coplanar         

    D)  None of these

    Correct Answer: B

    Solution :

     \[\overrightarrow{A}.\overrightarrow{B}=\overrightarrow{A}.\overrightarrow{C}\] \[\Rightarrow \] \[\overrightarrow{A}.\overrightarrow{B}-\overrightarrow{A}.\overrightarrow{C}=0\] \[\Rightarrow \] \[\overrightarrow{A}(\overrightarrow{B}-\overrightarrow{C})=0\] \[\Rightarrow \] \[\overrightarrow{A}\bot (\overrightarrow{B}-\overrightarrow{C})\]


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