Stage 29 · Spatial Vectors & Solid Geometry
29.1.3 Scalar Multiplication of Spatial Vectors
29.1 From Plane Vectors into Space — Spatial Vectors and Linear Operations
Point 3 of 6
29.1.3 Scalar Multiplication of Spatial Vectors
Core ideaStretch the arrow longer or flip it around, and scaling its length by λ gives λa, with the sign of λ deciding the direction.
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.