Unit vector `hat(P)` and `hat(Q)` are inclined at an angle `theta`. Prove that `|hat(P)-hat(Q)|= 2 sin(theta//2)`.

If unit vectors hat(a) and hat(b) are inclined at angle theta , then prove that |vec(a) - vec(b)| = 2 sin.(theta)/(2) .

Unit vectors widehat a and hat b are inclined at an angle 2 theta and |widehat a-hat b|<11 l 0<=theta<=pi?, then theta may belong to

If hat a and hat b are unit vectors inclined at an angle theta , then prove that costheta/2=1/2| hat a+ hat b| tantheta/2=1/2|( hat a- hat b)/( hat a+ hat b)|

If hat a and hatb are two unit vectors inclined at an angle theta , then sin(theta/2)

If hat a and hatb are two unit vectors inclined at an angle theta , then sin(theta/2)

If widehat a and hat b are unit vectors inclined at an angle theta, then prove that cos(theta)/(2)=(1)/(2)|widehat a+hat b|tan(theta)/(2)=(1)/(2)|(widehat a-hat b)/(widehat a+hat b)|

If widehat a and hat b are two unit vectors inclined at an angle theta, then sin((theta)/(2))

If widehat aandhat b are unit vectors inclined at an angle theta, then prove that (sin theta)/(2)=(1)/(2)|widehat a-hat b|

If hat a\ a n d\ hat b are unit vectors inclined at an angle theta then prove that tantheta/2=(| hat a- hat b|)/(| hat a+ hat b|)