If ` hat aa n d hat b` are unit vectors inclined at an angle `theta` , then prove that `sintheta/2=1/2| hat a- hat b|dot`

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|)

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

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

If hat a and hat b are unit vectors inclined at an angle θ then prove that : tan (θ/2) =|hat a + hat b|/ |hat a − hatb|

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

If hat(a) and hat(b) are unit vectors and theta is the angle between them, prove that "tan"(theta)/(2)= (|hat(a)-hat(b)|)/(|hat(a)+ hat(b)|)

If hat a , hat b ,a n d hat c are three unit vectors inclined to each other at angle theta, then the maximum value of theta is pi/3 b. pi/4 c. (2pi)/3 d. (5pi)/6