JEE Main & Advanced Mathematics Vector Algebra Question Bank Scalar triple product and their applications

  • question_answer
    If a, b, c are any three coplanar unit vectors, then

    A)             \[\mathbf{a}\,.\,(\mathbf{b}\times \mathbf{c})=1\]

    B)             \[\mathbf{a}\,.\,(\mathbf{b}\times \mathbf{c})=3\]

    C)             \[(\mathbf{a}\times \mathbf{b})\,.\,\mathbf{c}=0\]

    D)             \[(\mathbf{c}\times \mathbf{a})\,.\,\mathbf{b}=1\]

    Correct Answer: C

    Solution :

                    \[\mathbf{a}.(\mathbf{b}\times \mathbf{c})=0\] or \[(\mathbf{a}\times \mathbf{b}).\mathbf{c}=0.\]


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