Two adjacent sides OA and OB of a rectangle `OACB` are represented by `vec a and vecb` respectively, where o is origin. If `16|vec axxvecb| = 3 |veca+vecb|^2` and `theta` is the angle between the diagonals OC and AB, then the value(s) of `tan(theta/2)`

Two adjacent sides OA and OB of a rectangle OACB are represented by vec a and vecb respectively, where o is origin. If 16|vec axxvecb| = 3 (|veca|+|vecb|)^2 and theta is the angle between the diagonals OC and AB, then the value(s) of tan(theta/2)

The adjacent side vectors vec(OA) and vec(OB) of a rectangle OACB are veca and vecb respectively, where O is the origin . If 16|veca xx vecb|=3(|veca|+|vecb|)^(2) and theta be the acute angle between the diagonals OC and AB then the value of cos(theta/2) is : (a) (1)/(sqrt(2)) (b) (1)/(2) (c) (1)/(sqrt(3)) (d) (1)/(3)

If veca and vecb are unit vectors and theta is the angle between veca and vecb , then sin.(theta)/(2) is

Prove that |vecaxxvecb|/(veca*vecb) = tan theta , where theta is the angle between veca and vecb .

If veca and vecb are unit vectors and theta is the angle between them then show that |veca-vecb|=2sin.(theta)/(2)

vecA and vecB are two vectors and theta is the angle between them, if |vecA xx vecB|=sqrt(3)(vecA.vecB) the value of theta is:-

vecA and vecB are two vectors and theta is the angle between them, if |vecA xx vecB|=sqrt(3)(vecA.vecB) the value of theta is:-

If veca and vecb are unit vector and theta is the angle between then, then |(veca - vecb)/2| is:

If theta is the angle between the unit vectors veca and vecb , then prove that sin (theta/2)=1/2|veca-vecb|