Definition, Meaning & Synonyms
scalar-multiplication
Mathematics
ˈskeɪlər ˌmʌltɪˈpleɪʃən
Definition
Scalar multiplication is a mathematical operation that involves multiplying a vector by a scalar (a single number). This operation scales the vector by increasing or decreasing its magnitude without affecting its direction.
Examples
- When you multiply the vector (2, 3) by the scalar 4, you get the new vector (8, 12).
- In physics, scaling the velocity vector by a scalar can represent changes in speed.
Meaning
In simpler terms, scalar multiplication alters the length of a vector, making it longer or shorter while keeping it pointed in the same direction.
Synonyms
- Vector scaling
- Multiplication of a vector by a scalar
- Length adjustment
