27.3.6 Dividing a Segment in a Ratio and the Midpoint
27.3 The Fundamental Theorem and Going to Coordinates
Point 6 of 6
27.3.6 Dividing a Segment in a Ratio and the Midpoint
Core idea
Take a point that splits a segment in a given ratio and its coordinates are a weighted average of the endpoints, with the midpoint landing halfway.
Module goal. Use two non-collinear vectors as a base to describe any vector, then bring in coordinates so geometric operations turn into plain arithmetic.
eastmath.com · 27.3 The Fundamental Theorem and Going to Coordinates · 27.3.6 Dividing a Segment in a Ratio and the Midpoint