RAJASTHAN ­ PET Rajasthan PET Solved Paper-2007

  • question_answer
      Two vectors are perpendicular, if

    A)  \[A\to .B\to =1\]

    B)  \[A\to \times B\to =0\]

    C)  \[A\to .B\to =0\]

    D)  \[A\to \times B\to =AB\]

    Correct Answer: C

    Solution :

     If there are two vectors\[\overrightarrow{A}\]and \[\overrightarrow{B}\]having angle \[\theta \]between them, then their scalar product \[\overrightarrow{A}.\overrightarrow{B}\]is written as \[\overrightarrow{A}.\overrightarrow{B}=AB\cos \theta \] Scalar product of two vectors will be minimum when\[|\cos \theta |=\min =0,\]ie \[\theta =90{}^\circ \] \[\therefore \] \[{{(\overrightarrow{A}.\overrightarrow{B})}_{\min }}=0\]


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