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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    The projection of\[\hat{i}+3\text{ }\hat{j}+\hat{k}\]on\[2\hat{i}-3\text{ }\hat{j}+6\hat{k}\]is:

    A)  1/7                                       

    B)  \[-1/7\]                              

    C)  7                            

    D)         \[-7\]

    E)  1

    Correct Answer: B

    Solution :

    The projection of \[\hat{i}+3\hat{j}+\hat{k}\]on \[2\hat{i}-3\hat{j}+6\hat{k}\] \[=\frac{(\hat{i}+3\hat{j}+\hat{k}).(2\hat{i}-3\hat{j}+6\hat{k})}{\sqrt{4+9+36}}\]                 \[=\frac{2-9+6}{\sqrt{49}}=-\frac{1}{7}\]


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