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 \(\vec{b}\)


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