JEE Main & Advanced Mathematics Vector Algebra Question Bank Vector triple product

  • question_answer
    \[\mathbf{a}\times (\mathbf{b}\times \mathbf{c})\] is equal to [RPET 1995; Kurukshetra CEE 1998; MP PET 2003]

    A)          \[(\mathbf{a}\,.\,\mathbf{c})\,\mathbf{b}-(\mathbf{a}\,.\,\mathbf{a})\,\mathbf{b}\]

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

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

    D)          \[(\mathbf{a}\,.\,\mathbf{b})\,\mathbf{c}-(\mathbf{a}\,.\,\mathbf{c})\,\mathbf{b}\]

    Correct Answer: C

    Solution :

               It is a fundamental concept.


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