Question

If $\vec{a}$ and $\vec{b}$ are unit vectors and θ is the angle between $\vec{a}$ and $\vec{b}$, then sin$\frac{θ}{2}$ is

• A. $|\vec{a}+\vec{b}|$
• B. $\frac{|\vec{a}+\vec{b}|}{2}$
• C. $\frac{|\vec{a}-\vec{b}|}{2}$
• D. $|\vec{a}-\vec{b}|$

Answer 1

Answer: (C)

$\frac{|\vec{a}-\vec{b}|}{2}$

Answer 2

The correct answer is (C) : $\frac{|\vec{a}-\vec{b}|}{2}$.