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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2010

  • question_answer
        The angle between\[(\overrightarrow{A}\times \overrightarrow{B})\]and\[(\overrightarrow{A}+\overrightarrow{B})\]is

    A)  \[\frac{\pi }{4}\]                                             

    B)  \[\frac{\pi }{2}\]

    C)  \[\pi \]                                                

    D)  zero

    Correct Answer: B

    Solution :

                    \[(\overrightarrow{A}+\overrightarrow{B})\]is in the plane of A and B, but\[\overrightarrow{A}\times \overrightarrow{B}\]is always perpendicular to the plane of\[\overrightarrow{A}\]and\[\overrightarrow{B}\]both, so angle between\[(\overrightarrow{A}+\overrightarrow{B})\]and \[(\overrightarrow{A}\times \overrightarrow{B})\]is\[\frac{\pi }{2}.\]


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