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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2001

  • question_answer
    Two vectors\[\overrightarrow{A}\]and \[\overrightarrow{B}\]are such that \[|\overrightarrow{A}\times \overrightarrow{B}|=|\overrightarrow{A}.\overrightarrow{B}|\]then the angle between the two vectors is:

    A)  \[60{}^\circ \]                                  

    B)  \[90{}^\circ \]                  

    C)  \[0{}^\circ \]                     

    D)         \[45{}^\circ \]

    E)  \[30{}^\circ \]

    Correct Answer: D

    Solution :

    \[|\overrightarrow{A}\times \overrightarrow{B}|=|\overrightarrow{A}.\overrightarrow{B}|\] \[\Rightarrow \] \[AB\sin \theta \hat{n}=AB\cos \theta \hat{n}\] \[\Rightarrow \] \[\tan \theta =1\] \[\Rightarrow \] \[\theta =45{}^\circ \]


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