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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 a and b are unit vectors such that \[\mathbf{a}\times \mathbf{b}\] is also a unit vector, then the angle between a and b is

    A)                 0

    B)                 \[\frac{\pi }{3}\]

    C)                 \[\frac{\pi }{2}\]

    D)                 \[\pi \]

    Correct Answer: C

    Solution :

                    \[|\mathbf{a}\times \mathbf{b}|\,=1\Rightarrow \,\,|\sin \theta |\,=1\Rightarrow \sin \theta =1\Rightarrow \theta =\frac{\pi }{2}\].


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