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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 34

  • question_answer
    Addition of two vectors \[\vec{A}\] and \[\vec{B}\] is \[4\hat{i}\] and subtraction of these two vectors is \[2\hat{j}\]. Then scalar product of vectors \[\vec{A}\] and \[\vec{B}\] is

    A) 3 unit               

    B)        9 unit

    C) 7 unit                  

    D)        2 unit

    Correct Answer: A

    Solution :

    [a] \[\vec{A}+\vec{B}=4\hat{i}\] \[\vec{A}-\vec{B}=2\hat{j}\] \[\vec{A}=\left( 2\hat{i}+\hat{j} \right)\] \[\vec{B}=\left( 2\hat{i}-\hat{j} \right)\] \[\vec{A}.\vec{B}=3\] units


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