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

  • question_answer
    If \[\theta \] is the angle between the vectors a and b, then \[\frac{|a\times b|}{|a\,.\,b|}\] equal to                                          [Karnataka CET 1999]

    A)                 \[\tan \theta \]

    B)                 \[-\tan \theta \]

    C)                 \[\cot \theta \]

    D)                 \[-\cot \theta \]

    Correct Answer: A

    Solution :

                    Angle between the given vectors \[\mathbf{a}\] and b is \[\theta \]. We know that,\[\frac{|a\times b|}{|a\,.\,b|}=\frac{|a||b|\sin \theta }{|a||b|\cos \theta }=\tan \theta .\]


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