JEE Main 2007Annual, Paper 1MathematicsMediumVector Algebra184× since 2002Let a→=i^+j^+k^,b→=i^−j^+2k^\overrightarrow a = \widehat i + \widehat j + \widehat k,\overrightarrow b = \widehat i - \widehat j + 2\widehat ka=i+j+k,b=i−j+2k and c→=xi^+(x−2)j^−k^ .\overrightarrow c = x\widehat i + \left( {x - 2} \right)\widehat j - \widehat k\,\,.c=xi+(x−2)j−k. If the vectors c→\overrightarrow cc lies in the plane of a→\overrightarrow aa and b→\overrightarrow bb, then xxx equals :AOption A. −4-4−4BOption B. −2-2−2COption C. 000DOption D. 1.1.1.CheckSkip · show solution