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JEE Main & Advanced Physics Vectors Question Bank Multiplication of Vectors

  • question_answer
    Two vectors \[\overrightarrow{A}\] and \[\overrightarrow{B}\] are at right angles to each other, when                                 [AIIMS 1987]

    A)                 \[\overrightarrow{A}+\overrightarrow{B}=0\]

    B)                             \[\overrightarrow{A}-\overrightarrow{B}=0\]

    C)                 \[\overrightarrow{A}\times \overrightarrow{B}=0\]       

    D)                 \[\overrightarrow{A}\,.\,\overrightarrow{B}=0\]

    Correct Answer: D

    Solution :

                        \[\vec{A}.\vec{B}=\,|\vec{A}|.|\vec{B}|.\cos \theta =\vec{A}.\vec{B}.\cos 90{}^\circ =0\]


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