JEE Main 2005Annual, Paper 1MathematicsMediumVector Algebra184× since 2002Let a→ = i^−k^, b→ = xi^+j^ + (1−x)k^\overrightarrow a \,\, = \,\,\widehat i - \widehat k,\,\,\,\,\,\overrightarrow b \,\,\, = \,\,\,x\widehat i + \widehat j\,\,\, + \,\,\,\left( {1 - x} \right)\widehat ka=i−k,b=xi+j+(1−x)k and c→ = yi^+xj^+(1+x−y)k^.\overrightarrow c \,\, = \,\,y\widehat i + x\widehat j + \left( {1 + x - y} \right)\widehat k.c=yi+xj+(1+x−y)k. Then [a→,b→,c→]\left[ {\overrightarrow a ,\overrightarrow b ,\overrightarrow c } \right][a,b,c] depends on :AOption A. only yyyBOption B. only xxxCOption C. both xxx and yyyDOption D. neither xxx nor yyyCheckSkip · show solution
