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JEE Main & Advanced Physics Vectors Question Bank Multiplication of Vectors

  • question_answer
    Consider two vectors \[{{\overrightarrow{F}}_{1}}=2\hat{i}+5\hat{k}\] and \[{{\overrightarrow{F}}_{2}}=3\hat{j}+4\hat{k}.\] The magnitude of the scalar product of these vectors is                 [MP PMT 1987]

    A)                 20          

    B)                 23

    C)                 \[5\sqrt{33}\]   

    D)                 26

    Correct Answer: D

    Solution :

                        \[{{\vec{F}}_{1}}.{{\vec{F}}_{2}}=(2\hat{j}+5\hat{k})(3\hat{j}+4\hat{k})\]                 \[=6+20=20+6=26\]


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