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J & K CET Engineering J and K - CET Engineering Solved Paper-2008

  • question_answer
    If the vector \[3i-2\hat{j}-5\hat{k}\] is perpendicular to \[c\hat{k}-\hat{j}+6\hat{i},\] then c is equal to

    A)  \[3\]               

    B)  \[4\]

    C)  \[5\]                

    D)  \[6\]

    Correct Answer: B

    Solution :

    Since, vectors are perpendicular. \[\therefore \]  \[(3\hat{i}-2\hat{j}-5\hat{k}).(c\hat{k}-\hat{j}+6\hat{i})=0\] \[\Rightarrow \] \[18+2-5c=0\] \[\Rightarrow \] \[c=4\]


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