JEE Main 202126 Feb, Evening shiftMathematicsMediumVector Algebra184× since 2002If vectors a1→=xi^−j^+k^\overrightarrow {{a_1}} = x\widehat i - \widehat j + \widehat ka1=xi−j+k and a2→=i^+yj^+zk^\overrightarrow {{a_2}} = \widehat i + y\widehat j + z\widehat ka2=i+yj+zk are collinear, then a possible unit vector parallel to the vector xi^+yj^+zk^x\widehat i + y\widehat j + z\widehat kxi+yj+zk is :AOption A. 13(i^−j^+k^){1 \over {\sqrt 3 }}\left( {\widehat i - \widehat j + \widehat k} \right)31(i−j+k)BOption B. 12(−j^+k^){1 \over {\sqrt 2 }}\left( { - \widehat j + \widehat k} \right)21(−j+k)COption C. 12(i^−j^){1 \over {\sqrt 2 }}\left( {\widehat i - \widehat j} \right)21(i−j)DOption D. 13(i^+j^−k^){1 \over {\sqrt 3 }}\left( {\widehat i + \widehat j - \widehat k} \right)31(i+j−k)CheckSkip · show solution
