Stage 29 · Spatial Vectors & Solid Geometry

29.1.4 Collinear Vectors and Testing Direction

29.1 From Plane Vectors into Space — Spatial Vectors and Linear Operations

Point 4 of 6

29.1.4 Collinear Vectors and Testing Direction

Core idea

Two arrows that point along the same line share one direction, written b=λa, which is exactly what collinear means.

Module goal. Carry the familiar arrow of a plane vector into three dimensions, build up addition, subtraction, scalar multiplication, and tests for collinear and coplanar vectors in space, picking up where the last stage's feel for solid shapes left off.
eastmath.com · 29.1 From Plane Vectors into Space — Spatial Vectors and Linear Operations · 29.1.4 Collinear Vectors and Testing Direction