Trong không gian với hệ tọa độ \(Oxyz\) cho \(A\left( {0;1;0} \right)\), \(B\left( {2;2;2} \right)\), \(C\left( { - 2;3;1} \right)\) và đường thẳng \(d:\,\,\dfrac{{x - 1}}{2} = \dfrac{{y + 2}}{{ - 1}} = \dfrac{{z - 3}}{2}\). Tìm điểm \(M \in d\) sao cho thể tích tứ diện \(MABC\) bằng \(3\).
A.\(\left( { - \dfrac{3}{2}; - \dfrac{3}{4};\dfrac{1}{2}} \right)\); \(\left( { - \dfrac{{15}}{2};\dfrac{9}{4}; - \dfrac{{11}}{2}} \right)\)
B.\(\left( { - \dfrac{3}{5}; - \dfrac{3}{4};\dfrac{1}{2}} \right)\); \(\left( { - \dfrac{{15}}{2};\dfrac{9}{4};\dfrac{{11}}{2}} \right)\)
C.\(\left( {\dfrac{3}{2}; - \dfrac{3}{4};\dfrac{1}{2}} \right)\); \(\left( {\dfrac{{15}}{2};\dfrac{9}{4};\dfrac{{11}}{2}} \right)\)
D.\(\left( {\dfrac{3}{5}; - \dfrac{3}{4};\dfrac{1}{2}} \right)\); \(\left( {\dfrac{{15}}{2};\dfrac{9}{4};\dfrac{{11}}{2}} \right)\)
A.\(\left( { - \dfrac{3}{2}; - \dfrac{3}{4};\dfrac{1}{2}} \right)\); \(\left( { - \dfrac{{15}}{2};\dfrac{9}{4}; - \dfrac{{11}}{2}} \right)\)
B.\(\left( { - \dfrac{3}{5}; - \dfrac{3}{4};\dfrac{1}{2}} \right)\); \(\left( { - \dfrac{{15}}{2};\dfrac{9}{4};\dfrac{{11}}{2}} \right)\)
C.\(\left( {\dfrac{3}{2}; - \dfrac{3}{4};\dfrac{1}{2}} \right)\); \(\left( {\dfrac{{15}}{2};\dfrac{9}{4};\dfrac{{11}}{2}} \right)\)
D.\(\left( {\dfrac{3}{5}; - \dfrac{3}{4};\dfrac{1}{2}} \right)\); \(\left( {\dfrac{{15}}{2};\dfrac{9}{4};\dfrac{{11}}{2}} \right)\)
Loga
Hóa Học lớp 12
