Plane vector definition
A plane vector is a quantity with both direction and magnitude in a two-dimensional plane. In physics, it is also called vector, as opposed to a quantity (scalar) with only size and no direction. Plane vectors are represented by small arrows above A, B and C, and can also be represented by letters, indicating the starting point and ending point of vector directed line segments.
If we can prove that the product of two line segments divided by their intersection points is equal, we can determine the four-point circle, or we can connect the four-point circle and extend the two intersecting line segments. If it can be proved that the product of two line segments from the intersection to the two endpoints of a line segment is equal to the product of two line segments from the intersection to the two endpoints of another line segment, it can be determined that these four points are also *.