JEE Main & Advanced Physics Vectors Question Bank Multiplication of Vectors

  • question_answer
    The area of the parallelogram represented by the vectors \[\overrightarrow{A}=2\hat{i}+3\hat{j}\] and \[\overrightarrow{B}=\hat{i}+4\hat{j}\] is

    A)                 14 units

    B)                             7.5 units

    C)                 10 units

    D)                 5 units

    Correct Answer: D

    Solution :

                        \[|\vec{A}\times \vec{B}|\ =\ |(2\hat{i}+3\hat{j})\times (\hat{i}+4\hat{j})|\]\[=\ |5\hat{k}|\ =\ 5\ units\]


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