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Manipal Medical Manipal Medical Solved Paper-2015

  • question_answer
    If a vector \[2\hat{i}+3\hat{j}+8\hat{k}\]is perpendicular to the vector\[4\hat{j}-4\hat{i}+\alpha \hat{k}\]. Then, the value of \[\alpha \] is

    A) 1/2                                            

    B) -1

    C) -1/2                                          

    D) 1

    Correct Answer: C

    Solution :

    Dot product of these two vectors should be equal to zero as they are perpendicular to each other.          \[\therefore \]     \[A\cdot B=-8+12+8\alpha =0\]                                     \[8\alpha =-4\]                                      \[\alpha =\frac{-1}{2}\]


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