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JEE Main & Advanced Mathematics Vector Algebra Question Bank Vector or Cross product of two vectors and its application

  • question_answer
    A vector perpendicular to both of the vectors \[i+j+k\] and \[i+j\] is                                             [RPET 2000]

    A)                 i + j

    B)                 i ? j

    C)                 \[c(i-j)\], c is a scalar

    D)                 None of these

    Correct Answer: C

    Solution :

                    Vector perpendicular to both of the vectors \[i+j+k\] and \[i+j\] is,\[\frac{(i+j+k)\times (i+j)}{|(i+j+k)\times (i+j)|}\] \[=\frac{-i+j}{\sqrt{2}}=\frac{-1}{\sqrt{2}}(i-j)\] or \[c\,(i-j),\] where c is a scalar.


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