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JEE Main & Advanced Mathematics Vector Algebra Question Bank Scaler or Dot product of two vectors and its application

  • question_answer
    If the vectors \[a\mathbf{i}+2\mathbf{j}+3\mathbf{k}\] and \[-\mathbf{i}+5\mathbf{j}+a\mathbf{k}\] are perpendicular to each other, then \[a=\]          [MP PET 1996]

    A)             6

    B)             ? 6

    C)             5

    D)             ? 5

    Correct Answer: D

    Solution :

                    Accordingly, \[a\times (-1)+2(5)+3(a)=0\Rightarrow a=-5\].


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