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JEE Main & Advanced Physics Vectors Question Bank Multiplication of Vectors

  • question_answer
    If \[|\overrightarrow{A}\times \overrightarrow{B}|\,=\,|\overrightarrow{A}\,.\,\overrightarrow{B}|,\] then angle between \[\overrightarrow{A}\]and \[\overrightarrow{B}\] will be                 [AIIMS 2000; Manipal 2000]

    A)                 \[\text{3}0{}^\circ \]      

    B)                 \[\text{45}{}^\circ \]

    C)                 \[\text{6}0{}^\circ \]      

    D)                 \[\text{9}0{}^\circ \]

    Correct Answer: B

    Solution :

                        \[|\vec{A}\times \vec{B}|\,=\vec{A}.\vec{B}\]Þ\[AB\sin \theta =AB\cos \theta \]Þ\[\tan \theta =1\]                 \ \[\theta =45{}^\circ \]


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