Let \( \overline{\text{OA}} = \overline{\text{a}} \), \( \overline{\text{OB}} = \overline{\text{b}} \) and if the vector along the angle bisector of \( \angle \text{AOB} \) is given by \( x \frac{\overline{\text{a}}}{|\overline{\text{a}}|} + y \frac{\overline{\text{b}}}{|\overline{\text{b}}|} \) then
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The diagonal of a rhombus (formed by unit vectors) bisects its angles.