JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank System of Co-ordinates, Direction cosines and direction ratios, Projection

  • question_answer
    If the length of a vector be 21 and direction ratios be 2, ? 3, 6 then its direction cosines are

    A)            \[\frac{2}{21},\frac{-1}{7},\frac{2}{7}\]

    B)            \[\frac{2}{7},\frac{-3}{7},\frac{6}{7}\]

    C)            \[\frac{2}{7},\frac{3}{7},\frac{6}{7}\]

    D)            None of these

    Correct Answer: B

    Solution :

               D.c.'s are \[\frac{2}{\sqrt{{{2}^{2}}+{{(-3)}^{2}}+{{6}^{2}}}},\,\,\frac{-3}{\sqrt{49}}\text{and}\,\frac{6}{\sqrt{49}}\]                                      or\[\frac{2}{7},\,\frac{-3}{7},\,\,\frac{6}{7}\].


You need to login to perform this action.
You will be redirected in 3 sec spinner