JEE Main 2010Annual, Paper 1MathematicsMediumVector Algebra184× since 2002If the vectors a→=i^−j^+2k^, b→=2i^+4j^+k^ \overrightarrow a = \widehat i - \widehat j + 2\widehat k,\,\,\,\,\,\overrightarrow b = 2\widehat i + 4\widehat j + \widehat k\,\,\,a=i−j+2k,b=2i+4j+k and c→=λi^+j^+μk^\,\overrightarrow c = \lambda \widehat i + \widehat j + \mu \widehat kc=λi+j+μk are mutually orthogonal, then (λ,μ)\,\left( {\lambda ,\mu } \right)(λ,μ) is equal to :AOption A. (2,−3)(2, -3)(2,−3)BOption B. (−2,3)(-2, 3)(−2,3)COption C. (3,−2)(3, -2)(3,−2)DOption D. (−3,2)(-3, 2)(−3,2)CheckSkip · show solution