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NEET Sample Paper NEET Sample Test Paper-48

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

    A) \[-1\]     

    B)               \[-\frac{1}{2}\]   

    C) \[\frac{1}{2}\]                          

    D) \[1\]

    Correct Answer: B

    Solution :

    Vectors are perpendicular to each other Cross product is zero \[\vec{A}=2\hat{i}+3\hat{j}+8\hat{k}\] \[\vec{B}=4\hat{j}-4\hat{i}+\alpha \hat{k}\] \[\vec{A}.\vec{B}=0\] \[-8+12+8\alpha =0\] \[8\alpha =-4\] \[\alpha  =-\frac{1}{2}\]


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