NEET Sample Paper NEET Sample Test Paper-32

  • question_answer 2) Which of the following statement is correct :-

    A)  If \[\theta ={{45}^{o}},\] then \[\bigcirc -\vec{A}\times \vec{B}=-\vec{A}.\vec{B}\]

    B)  If \[\left| {\vec{A}} \right|=\left| {\vec{B}} \right|,\] then \[(\vec{A}+\vec{B})\] must be parallel to \[(\vec{A}-\vec{B})\]

    C)  If \[\vec{A}=\vec{O},\] then \[\left| \vec{A}+\vec{B} \right|=\left| \vec{A}-\vec{B} \right|\]

    D)  None of the above

    Correct Answer: C

    Solution :

    If \[\vec{A}=\vec{O},\] the \[\left| \vec{A}+\vec{B} \right|=\left| \vec{A}-\vec{B} \right|\] \[\Rightarrow \]    \[\left| \vec{O}+\vec{B} \right|=\left| \vec{O}-\vec{B} \right|\] \[\Rightarrow \] \[B=B\]

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