Statement 1: If $\vec{u}and\vec{v}$ are unit vectors inclined at an angle $\alpha and\vec{x}$ is a unit vector bisecting the angle between them, then $\vec{x}=\left(\vec{u}+\vec{v}\right)/(2\sin \left(\alpha /2\right)\dot{}$ Statement 2: If $\text{Delta}ABC$ is an isosceles triangle with $AB=AC=1,$ then the vector representing the bisector of angel $A$ is given by $\vec{A}D=\left(\vec{A}B+\vec{A}C\right)/2.$

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