# Tricky dot product 3

**Geometry**Level 2

Let \(\overrightarrow{a}\) and \(\overrightarrow{b}\) vectors such that \(\overrightarrow{a} \times \overrightarrow{b}= 1\cdot \hat{n}\).

This means that \(\overrightarrow{a}\) and \(\overrightarrow{b}\) are perpendicular.

**Note** : \(\hat{n}\) is a unit vector perpendicular to \(\vec{a} \) and \(\vec{b}\)