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

  • question_answer
    If \[\vec{\lambda }\] is a unit vector perpendicular to plane of vector a and b and angle between them is q, then a . b will be                                                 [RPET 1985]

    A)             \[|\mathbf{a}|\,\,|\mathbf{b}|\,\sin \theta \,\vec{\lambda }\]

    B)             \[|\mathbf{a}|\,\,|\mathbf{b}|\,\cos \,\,\theta \,\vec{\lambda }\]

    C)             \[|\mathbf{a}|\,\,|\mathbf{b}|\,\cos \,\,\theta \,\]

    D)             \[|\mathbf{a}|\,\,|\mathbf{b}|\,\sin \theta \,\]

    Correct Answer: C

    Solution :

                    It is obvious.


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