Stage 27 · Plane Vectors

27.4.4 The Dot Product in Coordinates

27.4 The Dot Product: Angles and Perpendicularity

Point 4 of 7

27.4.4 The Dot Product in Coordinates

Core idea

With coordinates it's even easier, a·b=x₁x₂+y₁y₂, just multiply and add to get the answer.

Module goal. Introduce the operation that multiplies two vectors into a number, capturing the angle between them, projection, and when they're perpendicular.
eastmath.com · 27.4 The Dot Product: Angles and Perpendicularity · 27.4.4 The Dot Product in Coordinates