MathematicsMedium202×since 2002Q5712The vector a→=αi^+2j^+βk^\overrightarrow a = \alpha \widehat i + 2\widehat j + \beta \widehat ka=αi+2j+βk lies in the plane of the vectors b→=i^+j^\overrightarrow b = \widehat i + \widehat jb=i+j and c→=j^+k^\overrightarrow c = \widehat j + \widehat kc=j+k and bisects the angle between b→\overrightarrow bb and c→\overrightarrow cc.Then which one of the following gives possible values of α\alphaα and β\betaβ ?Aα=2, β=2\alpha = 2,\,\,\beta = 2α=2,β=2Bα=1, β=2\alpha = 1,\,\,\beta = 2α=1,β=2Cα=2, β=1\alpha = 2,\,\,\beta = 1α=2,β=1Dα=1, β=1\alpha = 1,\,\,\beta = 1α=1,β=1Check answerSkip