If vec a and vec b are two equal vectors inclined at the angle theta then value of sin (theta/2)=?
2 Answers
If
Now:
So putting it all together:
Explanation:
Here is a reference for the vector that bisects the angle between two vectors .
The reference tells us that the vector,
Therefore, the dot-product between the bisector and the either vector must contain the cosine of
The following is the dot-product with
Because
Divide both sides by
Solve for
Use the identity,