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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2006

  • question_answer
    If \[\overrightarrow{a}=2\hat{i}-3\hat{j}+p\hat{k}\]and\[\overrightarrow{a}\times \overrightarrow{b}=4\hat{i}+2\hat{j}-2\hat{k},\]then p is:

    A)  0            

    B)                         \[-1\]

    C)  1                            

    D)         2

    E)  \[-2\]

    Correct Answer: C

    Solution :

    Since\[\overrightarrow{a}\]is\[\bot \]to\[\overrightarrow{a}\times \overrightarrow{b}\] \[\Rightarrow \]               \[\overrightarrow{a}.(\overrightarrow{a}\times \overrightarrow{b})=0\]             \[\Rightarrow \]               \[(2\hat{i}-3\hat{j}+p\hat{k}).(4\hat{i}+2\hat{j}-2\hat{k})\] \[\Rightarrow \]               \[8-6-2p=0\Rightarrow p=1\]


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