If `veca,vecb` are unit vectors and `theta` is the angle between them, show that
`sin""(theta)/(2)=(1)/(2)|veca-vecb|`

If veca,vecb are unit vectors and theta is the angle between them, show that cos""(theta)/(2)=(1)/(2)|veca+vecb|

If veca,vecb are unit vectors and theta is the angle between them, show that tan""(theta)/(2)=(|veca-vecb|)/(|veca+vecb|)

If veca and vecb are two vectors and angle between them is theta , then

Let vecaandvecb be two unit vectors and theta is the angle between them Then veca+vecb is a unit vector if

veca and vecc are unit vectors and |vecb|=4 the angle between veca and vecb is cos ^(-1)(1//4) and vecb - 2vecc=lambdaveca the value of lambda is

If veca and vecb are any two unit vectors, then find the greatest postive integer in the range of (3|veca + vecb|)/2+2|veca-vecb|

If veca and vecb are of equal magnitude and angle between them is 30^(@) and their |veca X vecb| =(1)/(2) then |veca| is:

veca, vecb and vecc are unit vecrtors such that |veca + vecb+ 3vecc|=4 Angle between veca and vecb is theta_(1) , between vecb and vecc is theta_(2) and between veca and vecb varies [pi//6, 2pi//3] . Then the maximum value of cos theta_(1)+3cos theta_(2) is

Let veca.vecb=0 where veca and vecb are unit vectors and the vector vecc is inclined an anlge theta to both veca and vecb. If vecc=mveca+nvecb + p(veca xx vecb) , (m,n,p in R) then