2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Vector Algebra

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

  • question_answer
    The unit vector perpendicular to both \[\mathbf{i}+\mathbf{j}\] and \[\mathbf{j}+\mathbf{k}\] is                                 [Kerala (Engg.) 2002]

    A)                 i ? j + k

    B)                 i + j + k

    C)                 \[\frac{\mathbf{i}+\mathbf{j}-\mathbf{k}}{\sqrt{3}}\]  

    D)                 \[\frac{\mathbf{i}-\mathbf{j}+\mathbf{k}}{\sqrt{3}}\]

    Correct Answer: D

    Solution :

               Unit vector perpendicular to both                 \[=\frac{(\mathbf{i}+\mathbf{j})\times (\mathbf{j}+\mathbf{k})}{|(\mathbf{i}+\mathbf{j})\times (\mathbf{j}+\mathbf{k})|}=\frac{\mathbf{i}-\mathbf{j}+\mathbf{k}}{\sqrt{3}}\].


You need to login to perform this action.
You will be redirected in 3 sec spinner