Linear Combination of Vectors

Linear Combination of Vectors

If $$\vec a$$ and $$\vec b$$ are vectors and $$\lambda,\mu$$ are scalars, then:

$$\vec r=\lambda\vec a+\mu\vec b$$

Terminology

- Linear combination: A vector formed by multiplying given vectors by scalars and adding them.

Usage

- Used to express a vector in terms of other vectors.