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J & K CET Medical J & K - CET Medical Solved Paper-2013

  • question_answer
    The scalar product of two vectors \[A=2\hat{i}+2\hat{j}-\hat{k}\] and\[B=-\text{ }\hat{j}+\hat{k},\]is given by

    A)  \[A.B=3\]            

    B)  \[A.B=4\]

    C)  \[A.B=-4\]          

    D) \[A.B=-3\]

    Correct Answer: D

    Solution :

     Given,\[A=2\hat{i}+2\hat{j}-\hat{k}\]and\[B=-\hat{j}+\hat{k}\] Scalar product \[A.B=(2\hat{i}+2j-\hat{k}).(-\hat{j}+\hat{k})\] Using\[\hat{i}.\hat{i}=1,\hat{j}.\hat{j}=1,\hat{k}.\hat{k}=1\]we have \[A.B=-2-1=-3\]


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