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Trong không gian với hệ trục tọa độ Oxyz, cho ba điểm A(1;2;3), B(2;1;5), C(2;4;2)
4 days ago
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Trong không gian với hệ trục tọa độ Oxyz, cho ba điểm A(1;2;3), B(2;1;5), C(2;4;2). a) Tọa độ trung điểm của AB là \((\frac{3}{2};\frac{3}{2};4)\). b) \(\vec{OA}+\vec{OB}+\vec{OC}=(5;7;10)\). c) Góc giữa hai đường thẳng AB và AC bằng \(30^{\circ }\). d) Điểm I(a;b;c) nằm trên mặt phẳng (Oxz) thỏa mãn \(T=|\vec{3IB}-\vec{IC}|\) đạt giá trị nhỏ nhất. Khi đó \(a-2b+2c=15\).
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