30.1.3 Midpoint and the Dividing Point in a Given Ratio
30.1 From Vectors to Coordinates: Where Analytic Geometry Begins
Point 3 of 4
30.1.3 Midpoint and the Dividing Point in a Given Ratio
Core idea
The exact middle of a segment sits like a seesaw's pivot, so you average the coordinates; nudge it off-center and you weight them by a ratio λ.
Module goal. Carry the vector thinking forward from the last stage, build the big idea of describing shapes with coordinates and equations, and revisit the tools of the plane.
eastmath.com · 30.1 From Vectors to Coordinates: Where Analytic Geometry Begins · 30.1.3 Midpoint and the Dividing Point in a Given Ratio