If `theta` is the angle between two unit vectors `hat(a)` and `hat(b)` then `(1)/(2)|hat(a)-hat(b)|=?`

If theta is the angle between the unit vectors hat a and hat b then cos (theta/2) is equal to

If 'theta' is the angle between the vectors : vec(a)=hat(i)+2hat(j)+3hat(k) and vec(b)=3hat(i)-2hat(j)+hat(k) , find sin theta .

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)|)

Find the angle between the vectors : vec(a)=hat(i)+hat(j)-hat(k) " and " vec(b)=hat(i)-hat(j)+hat(k)

Find the angle between two vectors A= 2 hat i + hat j - hat k and B=hat i - hat k .

Find the angle between the vectors vec(a) = hat(i) + hat(j) + hat(k) and vec(b) = hat(i) - hat(j) + hat(k) .

The edges of a parallelopiped are of unit length and are parallel to non-coplanar unit vectors hat(a), hat(b), hat(c) such that hat(a)*hat(b)=hat(b)*hat(c)=hat(c)*hat(a)=(1)/(2). Then, the volume of the parallelopiped is

The edges of a parallelopiped are of unit length and are parallel to non-coplanar unit vectors hat(a), hat(b), hat(c) such that hat(a)*hat(b)=hat(b)*hat(c)=hat(c)*hat(a)=(1)/(2). Then, the volume of the parallelopiped is

The edges of a parallelopiped are of unit length and are parallel to non-coplanar unit vectors hat(a), hat(b), hat(c) such that hat(a)*hat(b)=hat(b)*hat(c)=hat(c)*hat(a)=(1)/(2). Then, the volume of the parallelopiped is