# Orthogonal Vectors

## Orthogonal Vectors

Vectors for which the scalar product is zero.

The vectors $$\overrightarrow{u}$$ and $$\overrightarrow{v}$$ are orthogonal if: $$\overrightarrow{u}$$ × $$\overrightarrow{v}$$ = 0.

Therefore, we can write: $$\overrightarrow{u}$$ ⊥ $$\overrightarrow{v}$$.

### Example

$$\parallel \overrightarrow{u}\parallel$$ = 1 and $$\parallel \overrightarrow{v}\parallel$$ = 2

$$\parallel \overrightarrow{u}$$ × $$\overrightarrow{v}\parallel$$ = $$\parallel \overrightarrow{u}\parallel$$ × $$\parallel \overrightarrow{v}\parallel$$ × cos(θ) = 1 × 2 × cos(90°) = 2 × cos(90°) = 0.