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JEE Main & Advanced Physics Two Dimensional Motion Question Bank Self Evaluation Test - Motion in a Plane

  • question_answer
    If none of the vectors \[\vec{A},\,\,\vec{B}\] and \[\vec{C}\] are zero and if \[\vec{A}\times \vec{B}=0\],\[\vec{B}\times \vec{C}=0\] the value of \[\vec{A}\times \vec{C}\] is:

    A) unity                

    B)        zero

    C) \[{{B}^{2}}\]             

    D)        \[AC\text{ }cos\theta \]

    Correct Answer: B

    Solution :

    [b] For the given conditions, vectors \[\text{\vec{A}, \vec{B}}\] and \[\text{\vec{C}}\] are parallel, so \[\overrightarrow{A}\times \overrightarrow{C}=AC\,\sin 0{}^\circ =0\]


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