MathematicsHard202×since 2002Q5770Let a→=2i^+λ1j^+3k^, \overrightarrow a = 2\widehat i + {\lambda _1}\widehat j + 3\widehat k,\,\,a=2i+λ1j+3k, b→=4i^+(3−λ2)j^+6k^,\overrightarrow b = 4\widehat i + \left( {3 - {\lambda _2}} \right)\widehat j + 6\widehat k,b=4i+(3−λ2)j+6k, and c→=3i^+6j^+(λ3−1)k^\overrightarrow c = 3\widehat i + 6\widehat j + \left( {{\lambda _3} - 1} \right)\widehat kc=3i+6j+(λ3−1)k be three vectors such that b→=2a→\overrightarrow b = 2\overrightarrow ab=2a and a→\overrightarrow aa is perpendicular to c→\overrightarrow cc. Then a possible value of (λ1,λ2,λ3)\left( {{\lambda _1},{\lambda _2},{\lambda _3}} \right)(λ1,λ2,λ3) is :A(1, 5, 1)B(1, 3, 1)C(−12,4,0)\left( { - {1 \over 2},4,0} \right)(−21,4,0)D(12,4,−2)\left( {{1 \over 2},4, - 2} \right)(21,4,−2)Check answerSkip