Question

Отрезок MN, середина отрезка O, доказать что вектора MO = ON.

Answer 1

Ответ:

Пошаговое объяснение:

Вектора равны,т.к. равны их длины и сонаправлены.

Answer 2

Given Information

We are given that there is a line segment MN, with the midpoint O. We need to prove that the vectors MO and ON are equal.

Proof

To prove that MO = ON, we can use the properties of line segments and vectors.

Let's consider the line segment MN. According to the midpoint theorem, the midpoint of a line segment divides it into two equal parts. Therefore, we can say that MO = ON.

We can also prove this using vectors. Let's consider the vector MO. The vector MO represents the displacement from point M to point O. Similarly, the vector ON represents the displacement from point O to point N.

Since O is the midpoint of MN, the displacement from M to O is equal to the displacement from O to N. Therefore, MO = ON.

Hence, we have proved that MO = ON.

Conclusion

In conclusion, we have shown that the vectors MO and ON are equal. This can be proven using the properties of line segments and vectors.