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  3. RAJASTHAN ­ PET

RAJASTHAN ­ PET Rajasthan PET Solved Paper-2003

  • question_answer
    \[\hat{i}\times (\hat{j}\times \hat{k})+\hat{j}\times (\hat{k}\times \hat{i})+\hat{k}(\hat{i}\times \hat{j})\]is equal to

    A)  1               

    B)  0

    C)  3                

    D)  4

    Correct Answer: B

    Solution :

     \[\hat{i}\times (\hat{j}\times \hat{k})+\hat{j}\times (\hat{k}\times \hat{i})+\hat{k}\times (\hat{i}\times \hat{j})\] \[=\hat{i}\times \hat{i}+\hat{j}\times \hat{j}+\hat{k}\times \hat{k}\] \[=0+0+0=0\] \[[\because \hat{i}\times \hat{i}=\hat{j}\times \hat{j}=\hat{k}\times \hat{k}=0]\]


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