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

  • question_answer
    The projection of vector \[2\mathbf{i}+3\mathbf{j}-2\mathbf{k}\] on the vector \[\mathbf{i}+2\mathbf{j}+3\mathbf{k}\] will be      [RPET 1984, 90, 97, 99; Karnataka CET 2004]

    A)             \[\frac{1}{\sqrt{14}}\]

    B)             \[\frac{2}{\sqrt{14}}\]

    C)             \[\frac{3}{\sqrt{14}}\]

    D)             \[\sqrt{14}\]

    Correct Answer: B

    Solution :

                    \[(2\mathbf{i}+3\mathbf{j}-2\mathbf{k}).\frac{(\mathbf{i}+2\mathbf{j}+3\mathbf{k})}{\sqrt{14}}=\frac{2}{\sqrt{14}}.\]


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