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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2002

  • question_answer
    If the vectors\[3\hat{i}+\lambda \hat{j}+\hat{k}\]and\[2\hat{i}-\hat{j}+8\hat{k}\]are perpendicular, then\[\lambda \]is:  

    A)  \[-14\]                                

    B)                         \[7\]

    C)                         \[14\]  

    D)                         \[\frac{1}{7}\]

    E)                         \[\frac{1}{14}\]

    Correct Answer: C

    Solution :

                    Since the given vectors are perpendicular \[\therefore \]\[(3\hat{i}+\lambda \hat{j}+\hat{k}).(2\hat{i}-\hat{j}+8\hat{k})=0\] \[\Rightarrow \]               \[6-\lambda +8=0\] \[\Rightarrow \]               \[\lambda =14\]              


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