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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2003

  • question_answer
    \[\overrightarrow{a}\times (\overrightarrow{b}\times \overrightarrow{c})\]is equal to

    A)  \[(\overrightarrow{a}.\overrightarrow{b})\overrightarrow{c}+(\overrightarrow{a}.\overrightarrow{c})\overrightarrow{b}\]

    B)  \[(\overrightarrow{a}.\overrightarrow{b})\overrightarrow{c}-(\overrightarrow{a}.\overrightarrow{c})\overrightarrow{b}\]

    C)  \[(\overrightarrow{a}.\overrightarrow{c})\overrightarrow{b}-(\overrightarrow{a}.\overrightarrow{b})\overrightarrow{c}\]

    D)  \[(\overrightarrow{a}.\overrightarrow{c})\overrightarrow{b}+(\overrightarrow{a}.\overrightarrow{b})\overrightarrow{c}\]

    Correct Answer: C

    Solution :

     \[\overrightarrow{a}\times (\overrightarrow{b}\times \overrightarrow{c})=(\overrightarrow{a}.\overrightarrow{c})\overrightarrow{b}-(\overrightarrow{a}.\overrightarrow{b})\overrightarrow{c}\]


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