Question

cho 3 điểm A(1;-2;3) , B(2;4;0) , C(0;1;3) và gốc tọa độ O(0;0) xác đinh

1.\(\overrightarrow{AB}\)

2. \(\overrightarrow{AC}\)

3. \(\overrightarrow{BC}\)

4. \(I_{AB}\)

5. \(I_{BC}\)

6. \(G_{\Delta ABC}\)

Answer 1

\(\overrightarrow{AB}=\left(1;6;-3\right)\)

\(\overrightarrow{AC}=\left(-1;3;0\right)\)

\(\overrightarrow{BC}=\left(-2;-3;3\right)\)

\(I_{AB}=\left(\dfrac{x_A+x_B}{2};\dfrac{y_A+y_B}{2}\right)=\left(\dfrac{3}{2};1\right)\)

\(I_{BC}=\left(1;\dfrac{5}{2};\dfrac{3}{2}\right)\)

\(G_{ABC}=\left(\dfrac{x_A+x_B+x_C}{3};\dfrac{y_A+y_B+y_C}{3}\right)=\left(1;1;2\right)\)