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JEE Main & Advanced Physics Vectors Question Bank Multiplication of Vectors

  • question_answer
     If \[\overset{\to }{\mathop{A}}\,\,\times \,\overset{\to }{\mathop{B}}\,\,=\,\overset{\to }{\mathop{B}}\,\,\times \,\overset{\to }{\mathop{A}}\,\] then the angle between A and B is         [AIEEE 2004]

    A)  p / 2\[\]              

    B)                 p / 3

    C)                 p            

    D)                 p / 4

    Correct Answer: C

    Solution :

                        We know that \[\overrightarrow{A}\times \overrightarrow{B}=-(\overrightarrow{B}\times \overrightarrow{A})\] because the angle between these two is always 90°.                 But if the angle between \[\overrightarrow{A}\] and \[\overrightarrow{B}\] is 0 or p .  Then \[\overrightarrow{A}\times \overrightarrow{B}=\overrightarrow{B}\times \overrightarrow{A}=0\].


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