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MGIMS WARDHA MGIMS WARDHA Solved Paper-2013

  • question_answer
    If a and b are two vectors, then the value of\[(a\times b)\times (a-b)\]is

    A)  \[2(b\times a)\]                              

    B)  \[-2(b\times a)\]

    C)  \[b\times a\]                   

    D)  \[a\times b\]

    Correct Answer: A

    Solution :

                    \[(a+b)(a-b)=a\times a-a\times b+b\times a-b\times b=0\] \[a\times b=-b\times a\] and       \[a\times a=0\] \[(a+b)\times (a-b)=2(b\times a)\]


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