Linked from
The 12 pages that link to Scalar multiplication, each with the reason it gives.
VectorRelated: It changes length and can reverse direction when the scalar is negative.
Dot productRelated: Projection and vector-length formulas use scalar multiples of vectors.
MultiplicationBroader topic: It applies ordinary scaling to every entry of a structured quantity.
Vector additionCompared with: It changes one vector by a number rather than combining two vectors.
Affine spaceRelated: It lets vectors scale displacements between affine points.
Vector geometryRelated: Scaling changes a vector's length and can reverse its direction.
Product (mathematics)Related: It forms products between a number and a vector, scaling the vector.
Euclidean vectorRelated: It changes a vector's length while keeping it on the same line.