JEE Main & Advanced Physics Vectors Question Bank Addition and Subtraction of Vectors

  • question_answer
    Let \[\overrightarrow{C}=\overrightarrow{A}+\overrightarrow{B}\] then

    A)                 \[|\overrightarrow{C|}\] is always greater then \[|\overrightarrow{A}|\]

    B)                                 It is possible to have \[|\overrightarrow{C}|\,<\,|\overrightarrow{A}|\] and \[|\overrightarrow{C}|\,<\,|\overrightarrow{B}|\]

    C)                 C is always equal to A + B             

    D)                                 C is never equal to A + B

    Correct Answer: B

    Solution :

                        \[\vec{C}+\vec{A}=\vec{B}\].                 The value of C lies between \[A-B\] and \[A+B\]                 \ \[|\vec{C}|\ <\ |\vec{A}|\ \ \text{or}\ \ |\vec{C}|\ <\ |\vec{B}|\]


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