If a and b are two unit vectors and is the angle between them, then the unit vector along the angular bisector of a and b is given by

Step-by-step solution

Since a and b are unit vectors and angle between them is , so unit vector along the angle bisector of a and b is p = ( a + b ) where | p |= l . Now, since p and a are inclined at angle 2 , so aligned & p a =| p | a | 2 & ( a + b ) a =1 1 2 & (1+ )= 2 a b =1 1 = & 2 ^2 2 = 2 = 1 2 2 p = a + b 2 2 aligned