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

  • question_answer
    The component of \[\mathbf{i}+\mathbf{j}\] along \[\mathbf{j}+\mathbf{k}\] will be

    A)             \[\frac{\mathbf{i}+\mathbf{j}}{2}\]

    B)             \[\frac{\mathbf{j}+\mathbf{k}}{2}\]

    C)             \[\frac{\mathbf{k}+\mathbf{i}}{2}\]

    D)             None of these

    Correct Answer: B

    Solution :

                    \[\left[ (\mathbf{i}+\mathbf{j})\,.\,\frac{(\mathbf{j}+\mathbf{k})}{\sqrt{2}} \right]\frac{(\mathbf{j}+\mathbf{k})}{\sqrt{2}}=\frac{(\mathbf{j}+\mathbf{k})}{2}.\]


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