Class 12

Math

Algebra

Vector Algebra

Statement 1: If $uandv$ are unit vectors inclined at an angle $αandx$ is a unit vector bisecting the angle between them, then $x=(u+v)/(2sin(α/2)˙$ Statement 2: If $DeltaABC$ is an isosceles triangle with $AB=AC=1,$ then the vector representing the bisector of angel $A$ is given by $AD=(AB+AC)/2.$