MathematicsHard202×since 2002Q5817Let a→=αi^+3j^−k^\overrightarrow a = \alpha \widehat i + 3\widehat j - \widehat ka=αi+3j−k, b→=3i^−βj^+4k^\overrightarrow b = 3\widehat i - \beta \widehat j + 4\widehat kb=3i−βj+4k and c→=i^+2j^−2k^\overrightarrow c = \widehat i + 2\widehat j - 2\widehat kc=i+2j−2k where α, β∈R\alpha ,\,\beta \in Rα,β∈R, be three vectors. If the projection of a→\overrightarrow aa on c→\overrightarrow cc is 103{{10} \over 3}310 and b→×c→=−6i^+10j^+7k^\overrightarrow b \times \overrightarrow c = - 6\widehat i + 10\widehat j + 7\widehat kb×c=−6i+10j+7k, then the value of α+β\alpha + \betaα+β is equal to :A3B4C5D6Check answerSkip