Home
Class 12
MATHS
If hat a and hat b are unit vectors in...

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)|`

Promotional Banner

Similar Questions

Explore conceptually related problems

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 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 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 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 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)|)

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

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) .