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JEE Main & Advanced AIEEE Solved Paper-2002

  • question_answer
    If the vectors \[c,a=x\,\hat{i}+y\hat{j}+z\hat{k}\] and \[b=\hat{j}\] are such that a, c and b form a right handed system, then c is   AIEEE  Solved  Paper-2002

    A) \[z\hat{i}-x\hat{k}\]      

    B)                           0                

    C)           \[y\,\hat{i}\]                        

    D)           \[-z\,\hat{i}+x\,\hat{k}\]

    Correct Answer: A

    Solution :

    Given that, \[a=x\,\hat{i}+y\,\hat{j}+z\hat{k}\] and \[b=\hat{j}\] are such that a, c and b form a right handed system. \[\therefore \]     \[c=b\times a=\left| \begin{matrix}    {\hat{i}} & {\hat{j}} & {\hat{k}}  \\    0 & 1 & 0  \\    x & y & z  \\ \end{matrix} \right|=z\,\hat{i}-x\hat{k}\]


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