# Linearly Independent Vectors

## Linearly Independent Vectors

Vectors with different directions.

### Property

All vectors on a plane are a linear combination of two linearly independent vectors.

### Example

The two vectors $$\overrightarrow{u}$$ and $$\overrightarrow{v}$$ represented below are linearly independent because there are two non-zero real numbers α and β for which:α$$\overrightarrow{u}$$ +β$$\overrightarrow{v}$$ ≠ 0.